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Finding the Fourth Proportional to 403,848.84, 605,773.26 and 137,472.24

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Solution

The fourth proportional to 403,848.84, 605,773.26 and 137,472.24 is: 206,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,848.84 : 605,773.26 = 137,472.24 : x
  2. Step 2: Convert to fraction form
    403,848.84/605,773.26 = 137,472.24/x
  3. Step 3: Cross multiply
    403,848.84x = 605,773.26 × 137,472.24
  4. Step 4: Simplify right side
    403,848.84x = 83,277,006,984.30
  5. Step 5: Solve for x
    x = 83,277,006,984.30/403,848.84
  6. Step 6: Final answer
    x = 206,208.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.