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Finding the Fourth Proportional to 514,259.44, 709,018.56 and 399,343.12

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Solution

The fourth proportional to 514,259.44, 709,018.56 and 399,343.12 is: 550,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,259.44 : 709,018.56 = 399,343.12 : x
  2. Step 2: Convert to fraction form
    514,259.44/709,018.56 = 399,343.12/x
  3. Step 3: Cross multiply
    514,259.44x = 709,018.56 × 399,343.12
  4. Step 4: Simplify right side
    514,259.44x = 283,141,683,888.31
  5. Step 5: Solve for x
    x = 283,141,683,888.31/514,259.44
  6. Step 6: Final answer
    x = 550,581.40

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.