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Finding the Fourth Proportional to 457,862.48, 686,700.20 and 173,454.98

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Solution

The fourth proportional to 457,862.48, 686,700.20 and 173,454.98 is: 260,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,862.48 : 686,700.20 = 173,454.98 : x
  2. Step 2: Convert to fraction form
    457,862.48/686,700.20 = 173,454.98/x
  3. Step 3: Cross multiply
    457,862.48x = 686,700.20 × 173,454.98
  4. Step 4: Simplify right side
    457,862.48x = 119,111,569,457.00
  5. Step 5: Solve for x
    x = 119,111,569,457.00/457,862.48
  6. Step 6: Final answer
    x = 260,147.04

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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.