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Finding the Fourth Proportional to 288,068.76, 432,029.31 and 198,092.85

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Solution

The fourth proportional to 288,068.76, 432,029.31 and 198,092.85 is: 297,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,068.76 : 432,029.31 = 198,092.85 : x
  2. Step 2: Convert to fraction form
    288,068.76/432,029.31 = 198,092.85/x
  3. Step 3: Cross multiply
    288,068.76x = 432,029.31 × 198,092.85
  4. Step 4: Simplify right side
    288,068.76x = 85,581,917,301.43
  5. Step 5: Solve for x
    x = 85,581,917,301.43/288,068.76
  6. Step 6: Final answer
    x = 297,088.51

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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.