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Finding the Fourth Proportional to 348,734, 523,105.86 and 99,416

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Solution

The fourth proportional to 348,734, 523,105.86 and 99,416 is: 149,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,734 : 523,105.86 = 99,416 : x
  2. Step 2: Convert to fraction form
    348,734/523,105.86 = 99,416/x
  3. Step 3: Cross multiply
    348,734x = 523,105.86 × 99,416
  4. Step 4: Simplify right side
    348,734x = 52,005,092,177.76
  5. Step 5: Solve for x
    x = 52,005,092,177.76/348,734
  6. Step 6: Final answer
    x = 149,125.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.