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Finding the Fourth Proportional to 501,261.27, 691,777.17 and 286,396.71

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Solution

The fourth proportional to 501,261.27, 691,777.17 and 286,396.71 is: 395,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,261.27 : 691,777.17 = 286,396.71 : x
  2. Step 2: Convert to fraction form
    501,261.27/691,777.17 = 286,396.71/x
  3. Step 3: Cross multiply
    501,261.27x = 691,777.17 × 286,396.71
  4. Step 4: Simplify right side
    501,261.27x = 198,122,705,541.11
  5. Step 5: Solve for x
    x = 198,122,705,541.11/501,261.27
  6. Step 6: Final answer
    x = 395,248.38

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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.