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Finding the Fourth Proportional to 514,512.32, 710,273.81 and 361,681.52

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Solution

The fourth proportional to 514,512.32, 710,273.81 and 361,681.52 is: 499,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,512.32 : 710,273.81 = 361,681.52 : x
  2. Step 2: Convert to fraction form
    514,512.32/710,273.81 = 361,681.52/x
  3. Step 3: Cross multiply
    514,512.32x = 710,273.81 × 361,681.52
  4. Step 4: Simplify right side
    514,512.32x = 256,892,909,568.65
  5. Step 5: Solve for x
    x = 256,892,909,568.65/514,512.32
  6. Step 6: Final answer
    x = 499,293.99

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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.