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Finding the Fourth Proportional to 523,001.20, 784,833.36 and 223,483.90

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Solution

The fourth proportional to 523,001.20, 784,833.36 and 223,483.90 is: 335,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,001.20 : 784,833.36 = 223,483.90 : x
  2. Step 2: Convert to fraction form
    523,001.20/784,833.36 = 223,483.90/x
  3. Step 3: Cross multiply
    523,001.20x = 784,833.36 × 223,483.90
  4. Step 4: Simplify right side
    523,001.20x = 175,397,620,142.90
  5. Step 5: Solve for x
    x = 175,397,620,142.90/523,001.20
  6. Step 6: Final answer
    x = 335,367.53

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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.