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Finding the Fourth Proportional to 523,977.68, 786,061.56 and 299,591.12

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Solution

The fourth proportional to 523,977.68, 786,061.56 and 299,591.12 is: 449,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,977.68 : 786,061.56 = 299,591.12 : x
  2. Step 2: Convert to fraction form
    523,977.68/786,061.56 = 299,591.12/x
  3. Step 3: Cross multiply
    523,977.68x = 786,061.56 × 299,591.12
  4. Step 4: Simplify right side
    523,977.68x = 235,497,063,149.35
  5. Step 5: Solve for x
    x = 235,497,063,149.35/523,977.68
  6. Step 6: Final answer
    x = 449,441.02

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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.