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Finding the Fourth Proportional to 319,034.52, 440,287.29 and 175,794.54

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Solution

The fourth proportional to 319,034.52, 440,287.29 and 175,794.54 is: 242,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,034.52 : 440,287.29 = 175,794.54 : x
  2. Step 2: Convert to fraction form
    319,034.52/440,287.29 = 175,794.54/x
  3. Step 3: Cross multiply
    319,034.52x = 440,287.29 × 175,794.54
  4. Step 4: Simplify right side
    319,034.52x = 77,400,101,613.40
  5. Step 5: Solve for x
    x = 77,400,101,613.40/319,034.52
  6. Step 6: Final answer
    x = 242,607.29

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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.