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Finding the Fourth Proportional to 319,701.84, 441,188.12 and 176,462

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Solution

The fourth proportional to 319,701.84, 441,188.12 and 176,462 is: 243,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,701.84 : 441,188.12 = 176,462 : x
  2. Step 2: Convert to fraction form
    319,701.84/441,188.12 = 176,462/x
  3. Step 3: Cross multiply
    319,701.84x = 441,188.12 × 176,462
  4. Step 4: Simplify right side
    319,701.84x = 77,852,938,031.44
  5. Step 5: Solve for x
    x = 77,852,938,031.44/319,701.84
  6. Step 6: Final answer
    x = 243,517.33

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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.