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Finding the Fourth Proportional to 414,387.32, 571,905.08 and 233,106.88

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Solution

The fourth proportional to 414,387.32, 571,905.08 and 233,106.88 is: 321,715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,387.32 : 571,905.08 = 233,106.88 : x
  2. Step 2: Convert to fraction form
    414,387.32/571,905.08 = 233,106.88/x
  3. Step 3: Cross multiply
    414,387.32x = 571,905.08 × 233,106.88
  4. Step 4: Simplify right side
    414,387.32x = 133,315,008,854.95
  5. Step 5: Solve for x
    x = 133,315,008,854.95/414,387.32
  6. Step 6: Final answer
    x = 321,715.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.