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Finding the Fourth Proportional to 319,544.88, 440,957.16 and 176,281.80

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Solution

The fourth proportional to 319,544.88, 440,957.16 and 176,281.80 is: 243,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,544.88 : 440,957.16 = 176,281.80 : x
  2. Step 2: Convert to fraction form
    319,544.88/440,957.16 = 176,281.80/x
  3. Step 3: Cross multiply
    319,544.88x = 440,957.16 × 176,281.80
  4. Step 4: Simplify right side
    319,544.88x = 77,732,721,887.69
  5. Step 5: Solve for x
    x = 77,732,721,887.69/319,544.88
  6. Step 6: Final answer
    x = 243,260.73

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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.