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Finding the Fourth Proportional to 392,006.13, 540,902.88 and 230,893.27

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Solution

The fourth proportional to 392,006.13, 540,902.88 and 230,893.27 is: 318,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,006.13 : 540,902.88 = 230,893.27 : x
  2. Step 2: Convert to fraction form
    392,006.13/540,902.88 = 230,893.27/x
  3. Step 3: Cross multiply
    392,006.13x = 540,902.88 × 230,893.27
  4. Step 4: Simplify right side
    392,006.13x = 124,890,833,363.36
  5. Step 5: Solve for x
    x = 124,890,833,363.36/392,006.13
  6. Step 6: Final answer
    x = 318,594.08

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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.