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Finding the Fourth Proportional to 348,780, 523,174.92 and 99,462

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Solution

The fourth proportional to 348,780, 523,174.92 and 99,462 is: 149,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,780 : 523,174.92 = 99,462 : x
  2. Step 2: Convert to fraction form
    348,780/523,174.92 = 99,462/x
  3. Step 3: Cross multiply
    348,780x = 523,174.92 × 99,462
  4. Step 4: Simplify right side
    348,780x = 52,036,023,893.04
  5. Step 5: Solve for x
    x = 52,036,023,893.04/348,780
  6. Step 6: Final answer
    x = 149,194.40

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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.