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Finding the Fourth Proportional to 468,391.75, 646,382.23 and 253,531.76

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Solution

The fourth proportional to 468,391.75, 646,382.23 and 253,531.76 is: 349,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,391.75 : 646,382.23 = 253,531.76 : x
  2. Step 2: Convert to fraction form
    468,391.75/646,382.23 = 253,531.76/x
  3. Step 3: Cross multiply
    468,391.75x = 646,382.23 × 253,531.76
  4. Step 4: Simplify right side
    468,391.75x = 163,878,420,538.88
  5. Step 5: Solve for x
    x = 163,878,420,538.88/468,391.75
  6. Step 6: Final answer
    x = 349,874.70

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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.