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Finding the Fourth Proportional to 506,833.10, 699,431.53 and 274,260.04

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Solution

The fourth proportional to 506,833.10, 699,431.53 and 274,260.04 is: 378,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,833.10 : 699,431.53 = 274,260.04 : x
  2. Step 2: Convert to fraction form
    506,833.10/699,431.53 = 274,260.04/x
  3. Step 3: Cross multiply
    506,833.10x = 699,431.53 × 274,260.04
  4. Step 4: Simplify right side
    506,833.10x = 191,826,115,897.90
  5. Step 5: Solve for x
    x = 191,826,115,897.90/506,833.10
  6. Step 6: Final answer
    x = 378,479.85

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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.