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Finding the Fourth Proportional to 319,062.80, 440,309.58 and 175,827.98

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Solution

The fourth proportional to 319,062.80, 440,309.58 and 175,827.98 is: 242,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,062.80 : 440,309.58 = 175,827.98 : x
  2. Step 2: Convert to fraction form
    319,062.80/440,309.58 = 175,827.98/x
  3. Step 3: Cross multiply
    319,062.80x = 440,309.58 × 175,827.98
  4. Step 4: Simplify right side
    319,062.80x = 77,418,744,467.47
  5. Step 5: Solve for x
    x = 77,418,744,467.47/319,062.80
  6. Step 6: Final answer
    x = 242,644.22

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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.