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Finding the Fourth Proportional to 567,902.56, 783,677.28 and 313,247.20

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Solution

The fourth proportional to 567,902.56, 783,677.28 and 313,247.20 is: 432,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,902.56 : 783,677.28 = 313,247.20 : x
  2. Step 2: Convert to fraction form
    567,902.56/783,677.28 = 313,247.20/x
  3. Step 3: Cross multiply
    567,902.56x = 783,677.28 × 313,247.20
  4. Step 4: Simplify right side
    567,902.56x = 245,484,713,663.62
  5. Step 5: Solve for x
    x = 245,484,713,663.62/567,902.56
  6. Step 6: Final answer
    x = 432,265.55

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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.