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Finding the Fourth Proportional to 363,905.34, 502,182.71 and 202,756.93

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Solution

The fourth proportional to 363,905.34, 502,182.71 and 202,756.93 is: 279,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,905.34 : 502,182.71 = 202,756.93 : x
  2. Step 2: Convert to fraction form
    363,905.34/502,182.71 = 202,756.93/x
  3. Step 3: Cross multiply
    363,905.34x = 502,182.71 × 202,756.93
  4. Step 4: Simplify right side
    363,905.34x = 101,821,023,564.90
  5. Step 5: Solve for x
    x = 101,821,023,564.90/363,905.34
  6. Step 6: Final answer
    x = 279,800.85

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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.