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Finding the Fourth Proportional to 385,527.65, 578,180.50 and 132,797.93

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Solution

The fourth proportional to 385,527.65, 578,180.50 and 132,797.93 is: 199,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,527.65 : 578,180.50 = 132,797.93 : x
  2. Step 2: Convert to fraction form
    385,527.65/578,180.50 = 132,797.93/x
  3. Step 3: Cross multiply
    385,527.65x = 578,180.50 × 132,797.93
  4. Step 4: Simplify right side
    385,527.65x = 76,781,170,343.47
  5. Step 5: Solve for x
    x = 76,781,170,343.47/385,527.65
  6. Step 6: Final answer
    x = 199,158.66

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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.