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Finding the Fourth Proportional to 319,194.68, 440,488.49 and 175,957.11

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Solution

The fourth proportional to 319,194.68, 440,488.49 and 175,957.11 is: 242,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,194.68 : 440,488.49 = 175,957.11 : x
  2. Step 2: Convert to fraction form
    319,194.68/440,488.49 = 175,957.11/x
  3. Step 3: Cross multiply
    319,194.68x = 440,488.49 × 175,957.11
  4. Step 4: Simplify right side
    319,194.68x = 77,507,080,808.88
  5. Step 5: Solve for x
    x = 77,507,080,808.88/319,194.68
  6. Step 6: Final answer
    x = 242,820.72

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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.