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Finding the Fourth Proportional to 826,735.29, 1,140,806.34 and 464,199

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Solution

The fourth proportional to 826,735.29, 1,140,806.34 and 464,199 is: 640,545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,735.29 : 1,140,806.34 = 464,199 : x
  2. Step 2: Convert to fraction form
    826,735.29/1,140,806.34 = 464,199/x
  3. Step 3: Cross multiply
    826,735.29x = 1,140,806.34 × 464,199
  4. Step 4: Simplify right side
    826,735.29x = 529,561,162,221.66
  5. Step 5: Solve for x
    x = 529,561,162,221.66/826,735.29
  6. Step 6: Final answer
    x = 640,545.01

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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.