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Finding the Fourth Proportional to 421,434.90, 581,571.32 and 230,448.15

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Solution

The fourth proportional to 421,434.90, 581,571.32 and 230,448.15 is: 318,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,434.90 : 581,571.32 = 230,448.15 : x
  2. Step 2: Convert to fraction form
    421,434.90/581,571.32 = 230,448.15/x
  3. Step 3: Cross multiply
    421,434.90x = 581,571.32 × 230,448.15
  4. Step 4: Simplify right side
    421,434.90x = 134,022,033,634.82
  5. Step 5: Solve for x
    x = 134,022,033,634.82/421,434.90
  6. Step 6: Final answer
    x = 318,013.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.