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Finding the Fourth Proportional to 650,664.71, 897,917.10 and 364,184.72

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Solution

The fourth proportional to 650,664.71, 897,917.10 and 364,184.72 is: 502,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,664.71 : 897,917.10 = 364,184.72 : x
  2. Step 2: Convert to fraction form
    650,664.71/897,917.10 = 364,184.72/x
  3. Step 3: Cross multiply
    650,664.71x = 897,917.10 × 364,184.72
  4. Step 4: Simplify right side
    650,664.71x = 327,007,687,646.71
  5. Step 5: Solve for x
    x = 327,007,687,646.71/650,664.71
  6. Step 6: Final answer
    x = 502,574.80

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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.