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Finding the Fourth Proportional to 584,770.32, 806,989.86 and 343,057.05

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Solution

The fourth proportional to 584,770.32, 806,989.86 and 343,057.05 is: 473,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,770.32 : 806,989.86 = 343,057.05 : x
  2. Step 2: Convert to fraction form
    584,770.32/806,989.86 = 343,057.05/x
  3. Step 3: Cross multiply
    584,770.32x = 806,989.86 × 343,057.05
  4. Step 4: Simplify right side
    584,770.32x = 276,843,560,751.51
  5. Step 5: Solve for x
    x = 276,843,560,751.51/584,770.32
  6. Step 6: Final answer
    x = 473,422.73

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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.