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Finding the Fourth Proportional to 319,172.47, 440,477.72 and 175,932.19

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Solution

The fourth proportional to 319,172.47, 440,477.72 and 175,932.19 is: 242,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,172.47 : 440,477.72 = 175,932.19 : x
  2. Step 2: Convert to fraction form
    319,172.47/440,477.72 = 175,932.19/x
  3. Step 3: Cross multiply
    319,172.47x = 440,477.72 × 175,932.19
  4. Step 4: Simplify right side
    319,172.47x = 77,494,209,046.15
  5. Step 5: Solve for x
    x = 77,494,209,046.15/319,172.47
  6. Step 6: Final answer
    x = 242,797.28

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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.