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Finding the Fourth Proportional to 421,713.20, 581,965.62 and 230,726

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Solution

The fourth proportional to 421,713.20, 581,965.62 and 230,726 is: 318,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,713.20 : 581,965.62 = 230,726 : x
  2. Step 2: Convert to fraction form
    421,713.20/581,965.62 = 230,726/x
  3. Step 3: Cross multiply
    421,713.20x = 581,965.62 × 230,726
  4. Step 4: Simplify right side
    421,713.20x = 134,274,599,640.12
  5. Step 5: Solve for x
    x = 134,274,599,640.12/421,713.20
  6. Step 6: Final answer
    x = 318,402.65

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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.