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Finding the Fourth Proportional to 410,127.60, 615,191.40 and 230,028.15

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Solution

The fourth proportional to 410,127.60, 615,191.40 and 230,028.15 is: 345,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,127.60 : 615,191.40 = 230,028.15 : x
  2. Step 2: Convert to fraction form
    410,127.60/615,191.40 = 230,028.15/x
  3. Step 3: Cross multiply
    410,127.60x = 615,191.40 × 230,028.15
  4. Step 4: Simplify right side
    410,127.60x = 141,511,339,637.91
  5. Step 5: Solve for x
    x = 141,511,339,637.91/410,127.60
  6. Step 6: Final answer
    x = 345,042.23

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1.5x scale

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.