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Finding the Fourth Proportional to 410,414.30, 615,621.45 and 233,267.30

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Solution

The fourth proportional to 410,414.30, 615,621.45 and 233,267.30 is: 349,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,414.30 : 615,621.45 = 233,267.30 : x
  2. Step 2: Convert to fraction form
    410,414.30/615,621.45 = 233,267.30/x
  3. Step 3: Cross multiply
    410,414.30x = 615,621.45 × 233,267.30
  4. Step 4: Simplify right side
    410,414.30x = 143,604,353,463.59
  5. Step 5: Solve for x
    x = 143,604,353,463.59/410,414.30
  6. Step 6: Final answer
    x = 349,900.95

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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.