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Finding the Fourth Proportional to 706,071.80, 974,384.98 and 383,781.85

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Solution

The fourth proportional to 706,071.80, 974,384.98 and 383,781.85 is: 529,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,071.80 : 974,384.98 = 383,781.85 : x
  2. Step 2: Convert to fraction form
    706,071.80/974,384.98 = 383,781.85/x
  3. Step 3: Cross multiply
    706,071.80x = 974,384.98 × 383,781.85
  4. Step 4: Simplify right side
    706,071.80x = 373,951,266,841.20
  5. Step 5: Solve for x
    x = 373,951,266,841.20/706,071.80
  6. Step 6: Final answer
    x = 529,622.15

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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.