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Finding the Fourth Proportional to 417,895.67, 626,836.21 and 102,355.31

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Solution

The fourth proportional to 417,895.67, 626,836.21 and 102,355.31 is: 153,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,895.67 : 626,836.21 = 102,355.31 : x
  2. Step 2: Convert to fraction form
    417,895.67/626,836.21 = 102,355.31/x
  3. Step 3: Cross multiply
    417,895.67x = 626,836.21 × 102,355.31
  4. Step 4: Simplify right side
    417,895.67x = 64,160,011,203.71
  5. Step 5: Solve for x
    x = 64,160,011,203.71/417,895.67
  6. Step 6: Final answer
    x = 153,531.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.