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Finding the Fourth Proportional to 523,006.08, 784,507.68 and 143,898.72

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Solution

The fourth proportional to 523,006.08, 784,507.68 and 143,898.72 is: 215,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,006.08 : 784,507.68 = 143,898.72 : x
  2. Step 2: Convert to fraction form
    523,006.08/784,507.68 = 143,898.72/x
  3. Step 3: Cross multiply
    523,006.08x = 784,507.68 × 143,898.72
  4. Step 4: Simplify right side
    523,006.08x = 112,889,650,982.17
  5. Step 5: Solve for x
    x = 112,889,650,982.17/523,006.08
  6. Step 6: Final answer
    x = 215,847.68

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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.