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Finding the Fourth Proportional to 524,338.12, 786,524.60 and 145,262.69

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Solution

The fourth proportional to 524,338.12, 786,524.60 and 145,262.69 is: 217,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,338.12 : 786,524.60 = 145,262.69 : x
  2. Step 2: Convert to fraction form
    524,338.12/786,524.60 = 145,262.69/x
  3. Step 3: Cross multiply
    524,338.12x = 786,524.60 × 145,262.69
  4. Step 4: Simplify right side
    524,338.12x = 114,252,679,147.17
  5. Step 5: Solve for x
    x = 114,252,679,147.17/524,338.12
  6. Step 6: Final answer
    x = 217,898.86

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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.