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Finding the Fourth Proportional to 514,062.64, 709,342.68 and 299,240.92

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Solution

The fourth proportional to 514,062.64, 709,342.68 and 299,240.92 is: 412,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,062.64 : 709,342.68 = 299,240.92 : x
  2. Step 2: Convert to fraction form
    514,062.64/709,342.68 = 299,240.92/x
  3. Step 3: Cross multiply
    514,062.64x = 709,342.68 × 299,240.92
  4. Step 4: Simplify right side
    514,062.64x = 212,264,356,158.47
  5. Step 5: Solve for x
    x = 212,264,356,158.47/514,062.64
  6. Step 6: Final answer
    x = 412,915.35

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