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Finding the Fourth Proportional to 795,978.50, 1,098,470.01 and 433,422.22

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Solution

The fourth proportional to 795,978.50, 1,098,470.01 and 433,422.22 is: 598,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,978.50 : 1,098,470.01 = 433,422.22 : x
  2. Step 2: Convert to fraction form
    795,978.50/1,098,470.01 = 433,422.22/x
  3. Step 3: Cross multiply
    795,978.50x = 1,098,470.01 × 433,422.22
  4. Step 4: Simplify right side
    795,978.50x = 476,101,310,337.62
  5. Step 5: Solve for x
    x = 476,101,310,337.62/795,978.50
  6. Step 6: Final answer
    x = 598,133.38

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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.