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Finding the Fourth Proportional to 530,285, 731,793.42 and 291,821

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Solution

The fourth proportional to 530,285, 731,793.42 and 291,821 is: 402,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,285 : 731,793.42 = 291,821 : x
  2. Step 2: Convert to fraction form
    530,285/731,793.42 = 291,821/x
  3. Step 3: Cross multiply
    530,285x = 731,793.42 × 291,821
  4. Step 4: Simplify right side
    530,285x = 213,552,687,617.82
  5. Step 5: Solve for x
    x = 213,552,687,617.82/530,285
  6. Step 6: Final answer
    x = 402,713.05

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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.