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Finding the Fourth Proportional to 349,046.43, 523,569.84 and 99,728.43

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Solution

The fourth proportional to 349,046.43, 523,569.84 and 99,728.43 is: 149,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,046.43 : 523,569.84 = 99,728.43 : x
  2. Step 2: Convert to fraction form
    349,046.43/523,569.84 = 99,728.43/x
  3. Step 3: Cross multiply
    349,046.43x = 523,569.84 × 99,728.43
  4. Step 4: Simplify right side
    349,046.43x = 52,214,798,138.55
  5. Step 5: Solve for x
    x = 52,214,798,138.55/349,046.43
  6. Step 6: Final answer
    x = 149,592.70

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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.