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Finding the Fourth Proportional to 363,030.48, 500,953.20 and 201,876

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Solution

The fourth proportional to 363,030.48, 500,953.20 and 201,876 is: 278,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,030.48 : 500,953.20 = 201,876 : x
  2. Step 2: Convert to fraction form
    363,030.48/500,953.20 = 201,876/x
  3. Step 3: Cross multiply
    363,030.48x = 500,953.20 × 201,876
  4. Step 4: Simplify right side
    363,030.48x = 101,130,428,203.20
  5. Step 5: Solve for x
    x = 101,130,428,203.20/363,030.48
  6. Step 6: Final answer
    x = 278,572.83

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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.