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Finding the Fourth Proportional to 537,406.11, 741,638.30 and 295,706.43

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Solution

The fourth proportional to 537,406.11, 741,638.30 and 295,706.43 is: 408,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,406.11 : 741,638.30 = 295,706.43 : x
  2. Step 2: Convert to fraction form
    537,406.11/741,638.30 = 295,706.43/x
  3. Step 3: Cross multiply
    537,406.11x = 741,638.30 × 295,706.43
  4. Step 4: Simplify right side
    537,406.11x = 219,307,212,565.74
  5. Step 5: Solve for x
    x = 219,307,212,565.74/537,406.11
  6. Step 6: Final answer
    x = 408,084.70

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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.