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Finding the Fourth Proportional to 508,587.38, 701,826.93 and 282,230.90

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Solution

The fourth proportional to 508,587.38, 701,826.93 and 282,230.90 is: 389,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,587.38 : 701,826.93 = 282,230.90 : x
  2. Step 2: Convert to fraction form
    508,587.38/701,826.93 = 282,230.90/x
  3. Step 3: Cross multiply
    508,587.38x = 701,826.93 × 282,230.90
  4. Step 4: Simplify right side
    508,587.38x = 198,077,246,098.14
  5. Step 5: Solve for x
    x = 198,077,246,098.14/508,587.38
  6. Step 6: Final answer
    x = 389,465.52

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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.