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Finding the Fourth Proportional to 319,175.82, 440,462.53 and 175,938.26

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Solution

The fourth proportional to 319,175.82, 440,462.53 and 175,938.26 is: 242,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,175.82 : 440,462.53 = 175,938.26 : x
  2. Step 2: Convert to fraction form
    319,175.82/440,462.53 = 175,938.26/x
  3. Step 3: Cross multiply
    319,175.82x = 440,462.53 × 175,938.26
  4. Step 4: Simplify right side
    319,175.82x = 77,494,211,123.40
  5. Step 5: Solve for x
    x = 77,494,211,123.40/319,175.82
  6. Step 6: Final answer
    x = 242,794.74

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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.