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Finding the Fourth Proportional to 472,688.52, 652,312.17 and 257,833.20

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Solution

The fourth proportional to 472,688.52, 652,312.17 and 257,833.20 is: 355,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,688.52 : 652,312.17 = 257,833.20 : x
  2. Step 2: Convert to fraction form
    472,688.52/652,312.17 = 257,833.20/x
  3. Step 3: Cross multiply
    472,688.52x = 652,312.17 × 257,833.20
  4. Step 4: Simplify right side
    472,688.52x = 168,187,734,190.04
  5. Step 5: Solve for x
    x = 168,187,734,190.04/472,688.52
  6. Step 6: Final answer
    x = 355,810.91

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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.