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Finding the Fourth Proportional to 534,644, 801,343.92 and 218,718.08

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Solution

The fourth proportional to 534,644, 801,343.92 and 218,718.08 is: 327,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,644 : 801,343.92 = 218,718.08 : x
  2. Step 2: Convert to fraction form
    534,644/801,343.92 = 218,718.08/x
  3. Step 3: Cross multiply
    534,644x = 801,343.92 × 218,718.08
  4. Step 4: Simplify right side
    534,644x = 175,268,403,602.07
  5. Step 5: Solve for x
    x = 175,268,403,602.07/534,644
  6. Step 6: Final answer
    x = 327,822.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.