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Finding the Fourth Proportional to 349,232.68, 523,945.72 and 139,018.24

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Solution

The fourth proportional to 349,232.68, 523,945.72 and 139,018.24 is: 208,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,232.68 : 523,945.72 = 139,018.24 : x
  2. Step 2: Convert to fraction form
    349,232.68/523,945.72 = 139,018.24/x
  3. Step 3: Cross multiply
    349,232.68x = 523,945.72 × 139,018.24
  4. Step 4: Simplify right side
    349,232.68x = 72,838,011,849.93
  5. Step 5: Solve for x
    x = 72,838,011,849.93/349,232.68
  6. Step 6: Final answer
    x = 208,565.85

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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.