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Finding the Fourth Proportional to 403,849.84, 605,774.76 and 137,473.24

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Solution

The fourth proportional to 403,849.84, 605,774.76 and 137,473.24 is: 206,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,849.84 : 605,774.76 = 137,473.24 : x
  2. Step 2: Convert to fraction form
    403,849.84/605,774.76 = 137,473.24/x
  3. Step 3: Cross multiply
    403,849.84x = 605,774.76 × 137,473.24
  4. Step 4: Simplify right side
    403,849.84x = 83,277,818,967.42
  5. Step 5: Solve for x
    x = 83,277,818,967.42/403,849.84
  6. Step 6: Final answer
    x = 206,209.86

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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.