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Finding the Fourth Proportional to 522,977.92, 784,466.88 and 149,002

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Solution

The fourth proportional to 522,977.92, 784,466.88 and 149,002 is: 223,503

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,977.92 : 784,466.88 = 149,002 : x
  2. Step 2: Convert to fraction form
    522,977.92/784,466.88 = 149,002/x
  3. Step 3: Cross multiply
    522,977.92x = 784,466.88 × 149,002
  4. Step 4: Simplify right side
    522,977.92x = 116,887,134,053.76
  5. Step 5: Solve for x
    x = 116,887,134,053.76/522,977.92
  6. Step 6: Final answer
    x = 223,503

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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.