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Finding the Fourth Proportional to 319,618.32, 441,065.16 and 176,376.48

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Solution

The fourth proportional to 319,618.32, 441,065.16 and 176,376.48 is: 243,395.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,618.32 : 441,065.16 = 176,376.48 : x
  2. Step 2: Convert to fraction form
    319,618.32/441,065.16 = 176,376.48/x
  3. Step 3: Cross multiply
    319,618.32x = 441,065.16 × 176,376.48
  4. Step 4: Simplify right side
    319,618.32x = 77,793,520,371.44
  5. Step 5: Solve for x
    x = 77,793,520,371.44/319,618.32
  6. Step 6: Final answer
    x = 243,395.06

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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.