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Finding the Fourth Proportional to 703,456.96, 971,105.34 and 471,283.68

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Solution

The fourth proportional to 703,456.96, 971,105.34 and 471,283.68 is: 650,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,456.96 : 971,105.34 = 471,283.68 : x
  2. Step 2: Convert to fraction form
    703,456.96/971,105.34 = 471,283.68/x
  3. Step 3: Cross multiply
    703,456.96x = 971,105.34 × 471,283.68
  4. Step 4: Simplify right side
    703,456.96x = 457,666,098,302.85
  5. Step 5: Solve for x
    x = 457,666,098,302.85/703,456.96
  6. Step 6: Final answer
    x = 650,595.74

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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.