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Finding the Fourth Proportional to 650,669.82, 897,915.50 and 364,189.86

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Solution

The fourth proportional to 650,669.82, 897,915.50 and 364,189.86 is: 502,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,669.82 : 897,915.50 = 364,189.86 : x
  2. Step 2: Convert to fraction form
    650,669.82/897,915.50 = 364,189.86/x
  3. Step 3: Cross multiply
    650,669.82x = 897,915.50 × 364,189.86
  4. Step 4: Simplify right side
    650,669.82x = 327,011,720,236.83
  5. Step 5: Solve for x
    x = 327,011,720,236.83/650,669.82
  6. Step 6: Final answer
    x = 502,577.05

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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.