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Finding the Fourth Proportional to 410,033.20, 615,049.80 and 232,886.20

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Solution

The fourth proportional to 410,033.20, 615,049.80 and 232,886.20 is: 349,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,033.20 : 615,049.80 = 232,886.20 : x
  2. Step 2: Convert to fraction form
    410,033.20/615,049.80 = 232,886.20/x
  3. Step 3: Cross multiply
    410,033.20x = 615,049.80 × 232,886.20
  4. Step 4: Simplify right side
    410,033.20x = 143,236,610,732.76
  5. Step 5: Solve for x
    x = 143,236,610,732.76/410,033.20
  6. Step 6: Final answer
    x = 349,329.30

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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.