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Finding the Fourth Proportional to 650,692.92, 898,516.62 and 409,377.72

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Solution

The fourth proportional to 650,692.92, 898,516.62 and 409,377.72 is: 565,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,692.92 : 898,516.62 = 409,377.72 : x
  2. Step 2: Convert to fraction form
    650,692.92/898,516.62 = 409,377.72/x
  3. Step 3: Cross multiply
    650,692.92x = 898,516.62 × 409,377.72
  4. Step 4: Simplify right side
    650,692.92x = 367,832,685,277.71
  5. Step 5: Solve for x
    x = 367,832,685,277.71/650,692.92
  6. Step 6: Final answer
    x = 565,293.82

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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.