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Finding the Fourth Proportional to 363,784.05, 502,030.76 and 202,641.66

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Solution

The fourth proportional to 363,784.05, 502,030.76 and 202,641.66 is: 279,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,784.05 : 502,030.76 = 202,641.66 : x
  2. Step 2: Convert to fraction form
    363,784.05/502,030.76 = 202,641.66/x
  3. Step 3: Cross multiply
    363,784.05x = 502,030.76 × 202,641.66
  4. Step 4: Simplify right side
    363,784.05x = 101,732,345,564.25
  5. Step 5: Solve for x
    x = 101,732,345,564.25/363,784.05
  6. Step 6: Final answer
    x = 279,650.37

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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.