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Finding the Fourth Proportional to 523,635.20, 785,525.70 and 224,113.40

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Solution

The fourth proportional to 523,635.20, 785,525.70 and 224,113.40 is: 336,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,635.20 : 785,525.70 = 224,113.40 : x
  2. Step 2: Convert to fraction form
    523,635.20/785,525.70 = 224,113.40/x
  3. Step 3: Cross multiply
    523,635.20x = 785,525.70 × 224,113.40
  4. Step 4: Simplify right side
    523,635.20x = 176,046,835,414.38
  5. Step 5: Solve for x
    x = 176,046,835,414.38/523,635.20
  6. Step 6: Final answer
    x = 336,201.30

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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.