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Finding the Fourth Proportional to 319,751.76, 441,252 and 176,508.12

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Solution

The fourth proportional to 319,751.76, 441,252 and 176,508.12 is: 243,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,751.76 : 441,252 = 176,508.12 : x
  2. Step 2: Convert to fraction form
    319,751.76/441,252 = 176,508.12/x
  3. Step 3: Cross multiply
    319,751.76x = 441,252 × 176,508.12
  4. Step 4: Simplify right side
    319,751.76x = 77,884,560,966.24
  5. Step 5: Solve for x
    x = 77,884,560,966.24/319,751.76
  6. Step 6: Final answer
    x = 243,578.21

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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.