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Finding the Fourth Proportional to 650,308.02, 897,459.96 and 363,811.02

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Solution

The fourth proportional to 650,308.02, 897,459.96 and 363,811.02 is: 502,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,308.02 : 897,459.96 = 363,811.02 : x
  2. Step 2: Convert to fraction form
    650,308.02/897,459.96 = 363,811.02/x
  3. Step 3: Cross multiply
    650,308.02x = 897,459.96 × 363,811.02
  4. Step 4: Simplify right side
    650,308.02x = 326,505,823,456.76
  5. Step 5: Solve for x
    x = 326,505,823,456.76/650,308.02
  6. Step 6: Final answer
    x = 502,078.73

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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.