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Finding the Fourth Proportional to 543,859.69, 814,042.67 and 290,506.68

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Solution

The fourth proportional to 543,859.69, 814,042.67 and 290,506.68 is: 434,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,859.69 : 814,042.67 = 290,506.68 : x
  2. Step 2: Convert to fraction form
    543,859.69/814,042.67 = 290,506.68/x
  3. Step 3: Cross multiply
    543,859.69x = 814,042.67 × 290,506.68
  4. Step 4: Simplify right side
    543,859.69x = 236,484,833,440.04
  5. Step 5: Solve for x
    x = 236,484,833,440.04/543,859.69
  6. Step 6: Final answer
    x = 434,826.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.