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Finding the Fourth Proportional to 632,424.44, 872,948.94 and 417,755

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Solution

The fourth proportional to 632,424.44, 872,948.94 and 417,755 is: 576,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,424.44 : 872,948.94 = 417,755 : x
  2. Step 2: Convert to fraction form
    632,424.44/872,948.94 = 417,755/x
  3. Step 3: Cross multiply
    632,424.44x = 872,948.94 × 417,755
  4. Step 4: Simplify right side
    632,424.44x = 364,678,784,429.70
  5. Step 5: Solve for x
    x = 364,678,784,429.70/632,424.44
  6. Step 6: Final answer
    x = 576,636.13

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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.