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Finding the Fourth Proportional to 410,729.80, 615,432.30 and 232,707.40

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Solution

The fourth proportional to 410,729.80, 615,432.30 and 232,707.40 is: 348,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,729.80 : 615,432.30 = 232,707.40 : x
  2. Step 2: Convert to fraction form
    410,729.80/615,432.30 = 232,707.40/x
  3. Step 3: Cross multiply
    410,729.80x = 615,432.30 × 232,707.40
  4. Step 4: Simplify right side
    410,729.80x = 143,215,650,409.02
  5. Step 5: Solve for x
    x = 143,215,650,409.02/410,729.80
  6. Step 6: Final answer
    x = 348,685.80

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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.