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Finding the Fourth Proportional to 464,549.60, 696,824.40 and 132,082.40

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Solution

The fourth proportional to 464,549.60, 696,824.40 and 132,082.40 is: 198,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,549.60 : 696,824.40 = 132,082.40 : x
  2. Step 2: Convert to fraction form
    464,549.60/696,824.40 = 132,082.40/x
  3. Step 3: Cross multiply
    464,549.60x = 696,824.40 × 132,082.40
  4. Step 4: Simplify right side
    464,549.60x = 92,038,239,130.56
  5. Step 5: Solve for x
    x = 92,038,239,130.56/464,549.60
  6. Step 6: Final answer
    x = 198,123.60

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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.