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Finding the Fourth Proportional to 523,136.12, 784,159.86 and 242,422.52

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Solution

The fourth proportional to 523,136.12, 784,159.86 and 242,422.52 is: 363,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,136.12 : 784,159.86 = 242,422.52 : x
  2. Step 2: Convert to fraction form
    523,136.12/784,159.86 = 242,422.52/x
  3. Step 3: Cross multiply
    523,136.12x = 784,159.86 × 242,422.52
  4. Step 4: Simplify right side
    523,136.12x = 190,098,009,344.05
  5. Step 5: Solve for x
    x = 190,098,009,344.05/523,136.12
  6. Step 6: Final answer
    x = 363,381.54

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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.