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Finding the Fourth Proportional to 410,627.67, 615,941.52 and 154,508.40

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Solution

The fourth proportional to 410,627.67, 615,941.52 and 154,508.40 is: 231,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,627.67 : 615,941.52 = 154,508.40 : x
  2. Step 2: Convert to fraction form
    410,627.67/615,941.52 = 154,508.40/x
  3. Step 3: Cross multiply
    410,627.67x = 615,941.52 × 154,508.40
  4. Step 4: Simplify right side
    410,627.67x = 95,168,138,748.77
  5. Step 5: Solve for x
    x = 95,168,138,748.77/410,627.67
  6. Step 6: Final answer
    x = 231,762.61

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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.