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Finding the Fourth Proportional to 424,454.84, 585,736.16 and 240,727.12

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Solution

The fourth proportional to 424,454.84, 585,736.16 and 240,727.12 is: 332,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,454.84 : 585,736.16 = 240,727.12 : x
  2. Step 2: Convert to fraction form
    424,454.84/585,736.16 = 240,727.12/x
  3. Step 3: Cross multiply
    424,454.84x = 585,736.16 × 240,727.12
  4. Step 4: Simplify right side
    424,454.84x = 141,002,578,876.66
  5. Step 5: Solve for x
    x = 141,002,578,876.66/424,454.84
  6. Step 6: Final answer
    x = 332,196.89

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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.