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Finding the Fourth Proportional to 322,442.10, 482,925.54 and 154,080.78

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Solution

The fourth proportional to 322,442.10, 482,925.54 and 154,080.78 is: 230,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,442.10 : 482,925.54 = 154,080.78 : x
  2. Step 2: Convert to fraction form
    322,442.10/482,925.54 = 154,080.78/x
  3. Step 3: Cross multiply
    322,442.10x = 482,925.54 × 154,080.78
  4. Step 4: Simplify right side
    322,442.10x = 74,409,543,885.12
  5. Step 5: Solve for x
    x = 74,409,543,885.12/322,442.10
  6. Step 6: Final answer
    x = 230,768.70

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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.