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Finding the Fourth Proportional to 342,470.16, 472,583.16 and 191,538

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Solution

The fourth proportional to 342,470.16, 472,583.16 and 191,538 is: 264,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,470.16 : 472,583.16 = 191,538 : x
  2. Step 2: Convert to fraction form
    342,470.16/472,583.16 = 191,538/x
  3. Step 3: Cross multiply
    342,470.16x = 472,583.16 × 191,538
  4. Step 4: Simplify right side
    342,470.16x = 90,517,633,300.08
  5. Step 5: Solve for x
    x = 90,517,633,300.08/342,470.16
  6. Step 6: Final answer
    x = 264,308.09

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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.