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Finding the Fourth Proportional to 342,506.29, 472,753.80 and 199,294.12

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Solution

The fourth proportional to 342,506.29, 472,753.80 and 199,294.12 is: 275,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,506.29 : 472,753.80 = 199,294.12 : x
  2. Step 2: Convert to fraction form
    342,506.29/472,753.80 = 199,294.12/x
  3. Step 3: Cross multiply
    342,506.29x = 472,753.80 × 199,294.12
  4. Step 4: Simplify right side
    342,506.29x = 94,217,052,547.66
  5. Step 5: Solve for x
    x = 94,217,052,547.66/342,506.29
  6. Step 6: Final answer
    x = 275,081.23

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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.