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Finding the Fourth Proportional to 319,063.30, 440,306.44 and 175,823.31

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Solution

The fourth proportional to 319,063.30, 440,306.44 and 175,823.31 is: 242,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,063.30 : 440,306.44 = 175,823.31 : x
  2. Step 2: Convert to fraction form
    319,063.30/440,306.44 = 175,823.31/x
  3. Step 3: Cross multiply
    319,063.30x = 440,306.44 × 175,823.31
  4. Step 4: Simplify right side
    319,063.30x = 77,416,135,695.12
  5. Step 5: Solve for x
    x = 77,416,135,695.12/319,063.30
  6. Step 6: Final answer
    x = 242,635.66

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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.