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Finding the Fourth Proportional to 524,342.20, 786,359.70 and 187,343.80

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Solution

The fourth proportional to 524,342.20, 786,359.70 and 187,343.80 is: 280,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,342.20 : 786,359.70 = 187,343.80 : x
  2. Step 2: Convert to fraction form
    524,342.20/786,359.70 = 187,343.80/x
  3. Step 3: Cross multiply
    524,342.20x = 786,359.70 × 187,343.80
  4. Step 4: Simplify right side
    524,342.20x = 147,319,614,364.86
  5. Step 5: Solve for x
    x = 147,319,614,364.86/524,342.20
  6. Step 6: Final answer
    x = 280,960.82

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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.