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Finding the Fourth Proportional to 524,614.32, 786,956.20 and 150,640.56

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Solution

The fourth proportional to 524,614.32, 786,956.20 and 150,640.56 is: 225,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,614.32 : 786,956.20 = 150,640.56 : x
  2. Step 2: Convert to fraction form
    524,614.32/786,956.20 = 150,640.56/x
  3. Step 3: Cross multiply
    524,614.32x = 786,956.20 × 150,640.56
  4. Step 4: Simplify right side
    524,614.32x = 118,547,522,663.47
  5. Step 5: Solve for x
    x = 118,547,522,663.47/524,614.32
  6. Step 6: Final answer
    x = 225,970.81

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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.