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Finding the Fourth Proportional to 410,147.40, 615,585.60 and 241,456.80

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Solution

The fourth proportional to 410,147.40, 615,585.60 and 241,456.80 is: 362,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.40 : 615,585.60 = 241,456.80 : x
  2. Step 2: Convert to fraction form
    410,147.40/615,585.60 = 241,456.80/x
  3. Step 3: Cross multiply
    410,147.40x = 615,585.60 × 241,456.80
  4. Step 4: Simplify right side
    410,147.40x = 148,637,329,102.08
  5. Step 5: Solve for x
    x = 148,637,329,102.08/410,147.40
  6. Step 6: Final answer
    x = 362,399.78

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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.