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Finding the Fourth Proportional to 795,836.68, 1,098,221 and 433,253

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Solution

The fourth proportional to 795,836.68, 1,098,221 and 433,253 is: 597,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,836.68 : 1,098,221 = 433,253 : x
  2. Step 2: Convert to fraction form
    795,836.68/1,098,221 = 433,253/x
  3. Step 3: Cross multiply
    795,836.68x = 1,098,221 × 433,253
  4. Step 4: Simplify right side
    795,836.68x = 475,807,542,913
  5. Step 5: Solve for x
    x = 475,807,542,913/795,836.68
  6. Step 6: Final answer
    x = 597,870.84

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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.