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Finding the Fourth Proportional to 319,706.35, 441,194.80 and 176,466.43

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Solution

The fourth proportional to 319,706.35, 441,194.80 and 176,466.43 is: 243,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,706.35 : 441,194.80 = 176,466.43 : x
  2. Step 2: Convert to fraction form
    319,706.35/441,194.80 = 176,466.43/x
  3. Step 3: Cross multiply
    319,706.35x = 441,194.80 × 176,466.43
  4. Step 4: Simplify right side
    319,706.35x = 77,856,073,096.66
  5. Step 5: Solve for x
    x = 77,856,073,096.66/319,706.35
  6. Step 6: Final answer
    x = 243,523.70

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1.5x scale

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.