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Finding the Fourth Proportional to 826,407.76, 1,140,394.80 and 463,797.76

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Solution

The fourth proportional to 826,407.76, 1,140,394.80 and 463,797.76 is: 640,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,407.76 : 1,140,394.80 = 463,797.76 : x
  2. Step 2: Convert to fraction form
    826,407.76/1,140,394.80 = 463,797.76/x
  3. Step 3: Cross multiply
    826,407.76x = 1,140,394.80 × 463,797.76
  4. Step 4: Simplify right side
    826,407.76x = 528,912,553,755.65
  5. Step 5: Solve for x
    x = 528,912,553,755.65/826,407.76
  6. Step 6: Final answer
    x = 640,014.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.