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Finding the Fourth Proportional to 414,848, 572,490.24 and 226,432

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Solution

The fourth proportional to 414,848, 572,490.24 and 226,432 is: 312,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,848 : 572,490.24 = 226,432 : x
  2. Step 2: Convert to fraction form
    414,848/572,490.24 = 226,432/x
  3. Step 3: Cross multiply
    414,848x = 572,490.24 × 226,432
  4. Step 4: Simplify right side
    414,848x = 129,630,110,023.68
  5. Step 5: Solve for x
    x = 129,630,110,023.68/414,848
  6. Step 6: Final answer
    x = 312,476.16

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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.