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Finding the Fourth Proportional to 485,873.82, 728,125.56 and 229,432.74

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Solution

The fourth proportional to 485,873.82, 728,125.56 and 229,432.74 is: 343,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,873.82 : 728,125.56 = 229,432.74 : x
  2. Step 2: Convert to fraction form
    485,873.82/728,125.56 = 229,432.74/x
  3. Step 3: Cross multiply
    485,873.82x = 728,125.56 × 229,432.74
  4. Step 4: Simplify right side
    485,873.82x = 167,055,842,294.83
  5. Step 5: Solve for x
    x = 167,055,842,294.83/485,873.82
  6. Step 6: Final answer
    x = 343,825.57

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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.