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Finding the Fourth Proportional to 462,008.64, 692,046.24 and 371,562.40

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Solution

The fourth proportional to 462,008.64, 692,046.24 and 371,562.40 is: 556,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,008.64 : 692,046.24 = 371,562.40 : x
  2. Step 2: Convert to fraction form
    462,008.64/692,046.24 = 371,562.40/x
  3. Step 3: Cross multiply
    462,008.64x = 692,046.24 × 371,562.40
  4. Step 4: Simplify right side
    462,008.64x = 257,138,361,845.38
  5. Step 5: Solve for x
    x = 257,138,361,845.38/462,008.64
  6. Step 6: Final answer
    x = 556,566.13

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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.