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Finding the Fourth Proportional to 414,437.44, 571,910.88 and 233,159.44

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Solution

The fourth proportional to 414,437.44, 571,910.88 and 233,159.44 is: 321,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,437.44 : 571,910.88 = 233,159.44 : x
  2. Step 2: Convert to fraction form
    414,437.44/571,910.88 = 233,159.44/x
  3. Step 3: Cross multiply
    414,437.44x = 571,910.88 × 233,159.44
  4. Step 4: Simplify right side
    414,437.44x = 133,346,420,510.71
  5. Step 5: Solve for x
    x = 133,346,420,510.71/414,437.44
  6. Step 6: Final answer
    x = 321,752.83

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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.