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Finding the Fourth Proportional to 342,854.19, 473,372.57 and 213,843.06

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Solution

The fourth proportional to 342,854.19, 473,372.57 and 213,843.06 is: 295,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,854.19 : 473,372.57 = 213,843.06 : x
  2. Step 2: Convert to fraction form
    342,854.19/473,372.57 = 213,843.06/x
  3. Step 3: Cross multiply
    342,854.19x = 473,372.57 × 213,843.06
  4. Step 4: Simplify right side
    342,854.19x = 101,227,439,423.47
  5. Step 5: Solve for x
    x = 101,227,439,423.47/342,854.19
  6. Step 6: Final answer
    x = 295,249.24

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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.