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Finding the Fourth Proportional to 410,082.60, 615,123.90 and 188,466.60

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Solution

The fourth proportional to 410,082.60, 615,123.90 and 188,466.60 is: 282,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,082.60 : 615,123.90 = 188,466.60 : x
  2. Step 2: Convert to fraction form
    410,082.60/615,123.90 = 188,466.60/x
  3. Step 3: Cross multiply
    410,082.60x = 615,123.90 × 188,466.60
  4. Step 4: Simplify right side
    410,082.60x = 115,930,310,011.74
  5. Step 5: Solve for x
    x = 115,930,310,011.74/410,082.60
  6. Step 6: Final answer
    x = 282,699.90

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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.