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Finding the Fourth Proportional to 702,157.68, 969,086.16 and 461,139.48

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Solution

The fourth proportional to 702,157.68, 969,086.16 and 461,139.48 is: 636,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,157.68 : 969,086.16 = 461,139.48 : x
  2. Step 2: Convert to fraction form
    702,157.68/969,086.16 = 461,139.48/x
  3. Step 3: Cross multiply
    702,157.68x = 969,086.16 × 461,139.48
  4. Step 4: Simplify right side
    702,157.68x = 446,883,887,897.60
  5. Step 5: Solve for x
    x = 446,883,887,897.60/702,157.68
  6. Step 6: Final answer
    x = 636,443.78

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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.