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Finding the Fourth Proportional to 523,151.92, 784,765.92 and 219,241.01

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Solution

The fourth proportional to 523,151.92, 784,765.92 and 219,241.01 is: 328,877.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,151.92 : 784,765.92 = 219,241.01 : x
  2. Step 2: Convert to fraction form
    523,151.92/784,765.92 = 219,241.01/x
  3. Step 3: Cross multiply
    523,151.92x = 784,765.92 × 219,241.01
  4. Step 4: Simplify right side
    523,151.92x = 172,052,872,914.38
  5. Step 5: Solve for x
    x = 172,052,872,914.38/523,151.92
  6. Step 6: Final answer
    x = 328,877.46

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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.