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Finding the Fourth Proportional to 501,691.86, 692,335.24 and 286,836.44

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Solution

The fourth proportional to 501,691.86, 692,335.24 and 286,836.44 is: 395,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,691.86 : 692,335.24 = 286,836.44 : x
  2. Step 2: Convert to fraction form
    501,691.86/692,335.24 = 286,836.44/x
  3. Step 3: Cross multiply
    501,691.86x = 692,335.24 × 286,836.44
  4. Step 4: Simplify right side
    501,691.86x = 198,586,971,349.38
  5. Step 5: Solve for x
    x = 198,586,971,349.38/501,691.86
  6. Step 6: Final answer
    x = 395,834.55

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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.