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Finding the Fourth Proportional to 697,646.48, 962,693.26 and 422,106.95

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Solution

The fourth proportional to 697,646.48, 962,693.26 and 422,106.95 is: 582,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,646.48 : 962,693.26 = 422,106.95 : x
  2. Step 2: Convert to fraction form
    697,646.48/962,693.26 = 422,106.95/x
  3. Step 3: Cross multiply
    697,646.48x = 962,693.26 × 422,106.95
  4. Step 4: Simplify right side
    697,646.48x = 406,359,517,115.62
  5. Step 5: Solve for x
    x = 406,359,517,115.62/697,646.48
  6. Step 6: Final answer
    x = 582,471.97

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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.