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Finding the Fourth Proportional to 410,867.54, 567,000 and 229,587.12

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Solution

The fourth proportional to 410,867.54, 567,000 and 229,587.12 is: 316,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,867.54 : 567,000 = 229,587.12 : x
  2. Step 2: Convert to fraction form
    410,867.54/567,000 = 229,587.12/x
  3. Step 3: Cross multiply
    410,867.54x = 567,000 × 229,587.12
  4. Step 4: Simplify right side
    410,867.54x = 130,175,897,040
  5. Step 5: Solve for x
    x = 130,175,897,040/410,867.54
  6. Step 6: Final answer
    x = 316,831.79

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