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Finding the Fourth Proportional to 342,716.13, 472,948.20 and 191,813.13

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Solution

The fourth proportional to 342,716.13, 472,948.20 and 191,813.13 is: 264,702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,716.13 : 472,948.20 = 191,813.13 : x
  2. Step 2: Convert to fraction form
    342,716.13/472,948.20 = 191,813.13/x
  3. Step 3: Cross multiply
    342,716.13x = 472,948.20 × 191,813.13
  4. Step 4: Simplify right side
    342,716.13x = 90,717,674,569.87
  5. Step 5: Solve for x
    x = 90,717,674,569.87/342,716.13
  6. Step 6: Final answer
    x = 264,702.09

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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.