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Finding the Fourth Proportional to 414,073.76, 571,442.06 and 232,842.74

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Solution

The fourth proportional to 414,073.76, 571,442.06 and 232,842.74 is: 321,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,073.76 : 571,442.06 = 232,842.74 : x
  2. Step 2: Convert to fraction form
    414,073.76/571,442.06 = 232,842.74/x
  3. Step 3: Cross multiply
    414,073.76x = 571,442.06 × 232,842.74
  4. Step 4: Simplify right side
    414,073.76x = 133,056,135,001.64
  5. Step 5: Solve for x
    x = 133,056,135,001.64/414,073.76
  6. Step 6: Final answer
    x = 321,334.38

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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.