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Finding the Fourth Proportional to 583,057.32, 804,344.16 and 341,191.53

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Solution

The fourth proportional to 583,057.32, 804,344.16 and 341,191.53 is: 470,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,057.32 : 804,344.16 = 341,191.53 : x
  2. Step 2: Convert to fraction form
    583,057.32/804,344.16 = 341,191.53/x
  3. Step 3: Cross multiply
    583,057.32x = 804,344.16 × 341,191.53
  4. Step 4: Simplify right side
    583,057.32x = 274,435,414,596.97
  5. Step 5: Solve for x
    x = 274,435,414,596.97/583,057.32
  6. Step 6: Final answer
    x = 470,683.42

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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.