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Finding the Fourth Proportional to 922,098.74, 1,383,314.36 and 416,897.48

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Solution

The fourth proportional to 922,098.74, 1,383,314.36 and 416,897.48 is: 625,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,098.74 : 1,383,314.36 = 416,897.48 : x
  2. Step 2: Convert to fraction form
    922,098.74/1,383,314.36 = 416,897.48/x
  3. Step 3: Cross multiply
    922,098.74x = 1,383,314.36 × 416,897.48
  4. Step 4: Simplify right side
    922,098.74x = 576,700,272,105.61
  5. Step 5: Solve for x
    x = 576,700,272,105.61/922,098.74
  6. Step 6: Final answer
    x = 625,421.39

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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.