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Finding the Fourth Proportional to 650,133.64, 897,208.94 and 363,652.84

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Solution

The fourth proportional to 650,133.64, 897,208.94 and 363,652.84 is: 501,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,133.64 : 897,208.94 = 363,652.84 : x
  2. Step 2: Convert to fraction form
    650,133.64/897,208.94 = 363,652.84/x
  3. Step 3: Cross multiply
    650,133.64x = 897,208.94 × 363,652.84
  4. Step 4: Simplify right side
    650,133.64x = 326,272,579,104.39
  5. Step 5: Solve for x
    x = 326,272,579,104.39/650,133.64
  6. Step 6: Final answer
    x = 501,854.63

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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.