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Finding the Fourth Proportional to 462,194.71, 638,006.42 and 413,710.94

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Solution

The fourth proportional to 462,194.71, 638,006.42 and 413,710.94 is: 571,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,194.71 : 638,006.42 = 413,710.94 : x
  2. Step 2: Convert to fraction form
    462,194.71/638,006.42 = 413,710.94/x
  3. Step 3: Cross multiply
    462,194.71x = 638,006.42 × 413,710.94
  4. Step 4: Simplify right side
    462,194.71x = 263,950,238,373.53
  5. Step 5: Solve for x
    x = 263,950,238,373.53/462,194.71
  6. Step 6: Final answer
    x = 571,080.18

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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.