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Finding the Fourth Proportional to 297,458.74, 410,355.74 and 176,531.31

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Solution

The fourth proportional to 297,458.74, 410,355.74 and 176,531.31 is: 243,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,458.74 : 410,355.74 = 176,531.31 : x
  2. Step 2: Convert to fraction form
    297,458.74/410,355.74 = 176,531.31/x
  3. Step 3: Cross multiply
    297,458.74x = 410,355.74 × 176,531.31
  4. Step 4: Simplify right side
    297,458.74x = 72,440,636,348.22
  5. Step 5: Solve for x
    x = 72,440,636,348.22/297,458.74
  6. Step 6: Final answer
    x = 243,531.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.