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Finding the Fourth Proportional to 537,657.12, 741,960.95 and 295,934.49

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Solution

The fourth proportional to 537,657.12, 741,960.95 and 295,934.49 is: 408,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,657.12 : 741,960.95 = 295,934.49 : x
  2. Step 2: Convert to fraction form
    537,657.12/741,960.95 = 295,934.49/x
  3. Step 3: Cross multiply
    537,657.12x = 741,960.95 × 295,934.49
  4. Step 4: Simplify right side
    537,657.12x = 219,571,833,858.49
  5. Step 5: Solve for x
    x = 219,571,833,858.49/537,657.12
  6. Step 6: Final answer
    x = 408,386.36

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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.