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Finding the Fourth Proportional to 309,442.40, 466,108.46 and 281,541.68

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Solution

The fourth proportional to 309,442.40, 466,108.46 and 281,541.68 is: 424,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,442.40 : 466,108.46 = 281,541.68 : x
  2. Step 2: Convert to fraction form
    309,442.40/466,108.46 = 281,541.68/x
  3. Step 3: Cross multiply
    309,442.40x = 466,108.46 × 281,541.68
  4. Step 4: Simplify right side
    309,442.40x = 131,228,958,890.61
  5. Step 5: Solve for x
    x = 131,228,958,890.61/309,442.40
  6. Step 6: Final answer
    x = 424,082.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.