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Finding the Fourth Proportional to 514,171.36, 709,374 and 335,012.32

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Solution

The fourth proportional to 514,171.36, 709,374 and 335,012.32 is: 462,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,171.36 : 709,374 = 335,012.32 : x
  2. Step 2: Convert to fraction form
    514,171.36/709,374 = 335,012.32/x
  3. Step 3: Cross multiply
    514,171.36x = 709,374 × 335,012.32
  4. Step 4: Simplify right side
    514,171.36x = 237,649,029,487.68
  5. Step 5: Solve for x
    x = 237,649,029,487.68/514,171.36
  6. Step 6: Final answer
    x = 462,198.11

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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.