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Finding the Fourth Proportional to 319,175.57, 440,462.18 and 175,938.01

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Solution

The fourth proportional to 319,175.57, 440,462.18 and 175,938.01 is: 242,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,175.57 : 440,462.18 = 175,938.01 : x
  2. Step 2: Convert to fraction form
    319,175.57/440,462.18 = 175,938.01/x
  3. Step 3: Cross multiply
    319,175.57x = 440,462.18 × 175,938.01
  4. Step 4: Simplify right side
    319,175.57x = 77,494,038,768.15
  5. Step 5: Solve for x
    x = 77,494,038,768.15/319,175.57
  6. Step 6: Final answer
    x = 242,794.39

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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.