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Finding the Fourth Proportional to 349,406.10, 523,849.95 and 149,562.90

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Solution

The fourth proportional to 349,406.10, 523,849.95 and 149,562.90 is: 224,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,406.10 : 523,849.95 = 149,562.90 : x
  2. Step 2: Convert to fraction form
    349,406.10/523,849.95 = 149,562.90/x
  3. Step 3: Cross multiply
    349,406.10x = 523,849.95 × 149,562.90
  4. Step 4: Simplify right side
    349,406.10x = 78,348,517,686.86
  5. Step 5: Solve for x
    x = 78,348,517,686.86/349,406.10
  6. Step 6: Final answer
    x = 224,233.40

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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.