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Finding the Fourth Proportional to 552,902.18, 763,029.56 and 311,200.40

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Solution

The fourth proportional to 552,902.18, 763,029.56 and 311,200.40 is: 429,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,902.18 : 763,029.56 = 311,200.40 : x
  2. Step 2: Convert to fraction form
    552,902.18/763,029.56 = 311,200.40/x
  3. Step 3: Cross multiply
    552,902.18x = 763,029.56 × 311,200.40
  4. Step 4: Simplify right side
    552,902.18x = 237,455,104,635.40
  5. Step 5: Solve for x
    x = 237,455,104,635.40/552,902.18
  6. Step 6: Final answer
    x = 429,470.38

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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.