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Finding the Fourth Proportional to 319,100.48, 440,358.66 and 175,860.52

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Solution

The fourth proportional to 319,100.48, 440,358.66 and 175,860.52 is: 242,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,100.48 : 440,358.66 = 175,860.52 : x
  2. Step 2: Convert to fraction form
    319,100.48/440,358.66 = 175,860.52/x
  3. Step 3: Cross multiply
    319,100.48x = 440,358.66 × 175,860.52
  4. Step 4: Simplify right side
    319,100.48x = 77,441,702,494.45
  5. Step 5: Solve for x
    x = 77,441,702,494.45/319,100.48
  6. Step 6: Final answer
    x = 242,687.52

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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.