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Finding the Fourth Proportional to 524,239.43, 786,357.82 and 145,158.90

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Solution

The fourth proportional to 524,239.43, 786,357.82 and 145,158.90 is: 217,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,239.43 : 786,357.82 = 145,158.90 : x
  2. Step 2: Convert to fraction form
    524,239.43/786,357.82 = 145,158.90/x
  3. Step 3: Cross multiply
    524,239.43x = 786,357.82 × 145,158.90
  4. Step 4: Simplify right side
    524,239.43x = 114,146,834,373.15
  5. Step 5: Solve for x
    x = 114,146,834,373.15/524,239.43
  6. Step 6: Final answer
    x = 217,737.98

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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.