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Finding the Fourth Proportional to 826,497, 1,140,474.60 and 463,837.68

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Solution

The fourth proportional to 826,497, 1,140,474.60 and 463,837.68 is: 640,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,497 : 1,140,474.60 = 463,837.68 : x
  2. Step 2: Convert to fraction form
    826,497/1,140,474.60 = 463,837.68/x
  3. Step 3: Cross multiply
    826,497x = 1,140,474.60 × 463,837.68
  4. Step 4: Simplify right side
    826,497x = 528,995,092,562.93
  5. Step 5: Solve for x
    x = 528,995,092,562.93/826,497
  6. Step 6: Final answer
    x = 640,044.78

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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.