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Finding the Fourth Proportional to 304,082.40, 456,123.60 and 154,264.80

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Solution

The fourth proportional to 304,082.40, 456,123.60 and 154,264.80 is: 231,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,082.40 : 456,123.60 = 154,264.80 : x
  2. Step 2: Convert to fraction form
    304,082.40/456,123.60 = 154,264.80/x
  3. Step 3: Cross multiply
    304,082.40x = 456,123.60 × 154,264.80
  4. Step 4: Simplify right side
    304,082.40x = 70,363,815,929.28
  5. Step 5: Solve for x
    x = 70,363,815,929.28/304,082.40
  6. Step 6: Final answer
    x = 231,397.20

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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.