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Finding the Fourth Proportional to 514,039, 709,347.78 and 281,459.62

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Solution

The fourth proportional to 514,039, 709,347.78 and 281,459.62 is: 388,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,039 : 709,347.78 = 281,459.62 : x
  2. Step 2: Convert to fraction form
    514,039/709,347.78 = 281,459.62/x
  3. Step 3: Cross multiply
    514,039x = 709,347.78 × 281,459.62
  4. Step 4: Simplify right side
    514,039x = 199,652,756,606.64
  5. Step 5: Solve for x
    x = 199,652,756,606.64/514,039
  6. Step 6: Final answer
    x = 388,400.02

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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.