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Finding the Fourth Proportional to 319,024.52, 440,273.50 and 175,784.54

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Solution

The fourth proportional to 319,024.52, 440,273.50 and 175,784.54 is: 242,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,024.52 : 440,273.50 = 175,784.54 : x
  2. Step 2: Convert to fraction form
    319,024.52/440,273.50 = 175,784.54/x
  3. Step 3: Cross multiply
    319,024.52x = 440,273.50 × 175,784.54
  4. Step 4: Simplify right side
    319,024.52x = 77,393,274,671.69
  5. Step 5: Solve for x
    x = 77,393,274,671.69/319,024.52
  6. Step 6: Final answer
    x = 242,593.50

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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.