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Finding the Fourth Proportional to 514,954.56, 772,432.32 and 292,872

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Solution

The fourth proportional to 514,954.56, 772,432.32 and 292,872 is: 439,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,954.56 : 772,432.32 = 292,872 : x
  2. Step 2: Convert to fraction form
    514,954.56/772,432.32 = 292,872/x
  3. Step 3: Cross multiply
    514,954.56x = 772,432.32 × 292,872
  4. Step 4: Simplify right side
    514,954.56x = 226,223,798,423.04
  5. Step 5: Solve for x
    x = 226,223,798,423.04/514,954.56
  6. Step 6: Final answer
    x = 439,308.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.