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Finding the Fourth Proportional to 410,876.59, 615,465.80 and 241,876.16

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Solution

The fourth proportional to 410,876.59, 615,465.80 and 241,876.16 is: 362,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,876.59 : 615,465.80 = 241,876.16 : x
  2. Step 2: Convert to fraction form
    410,876.59/615,465.80 = 241,876.16/x
  3. Step 3: Cross multiply
    410,876.59x = 615,465.80 × 241,876.16
  4. Step 4: Simplify right side
    410,876.59x = 148,866,503,105.95
  5. Step 5: Solve for x
    x = 148,866,503,105.95/410,876.59
  6. Step 6: Final answer
    x = 362,314.40

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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.