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Finding the Fourth Proportional to 421,716.96, 581,983.38 and 230,730.44

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Solution

The fourth proportional to 421,716.96, 581,983.38 and 230,730.44 is: 318,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,716.96 : 581,983.38 = 230,730.44 : x
  2. Step 2: Convert to fraction form
    421,716.96/581,983.38 = 230,730.44/x
  3. Step 3: Cross multiply
    421,716.96x = 581,983.38 × 230,730.44
  4. Step 4: Simplify right side
    421,716.96x = 134,281,278,430.17
  5. Step 5: Solve for x
    x = 134,281,278,430.17/421,716.96
  6. Step 6: Final answer
    x = 318,415.65

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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.