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Finding the Fourth Proportional to 484,430.29, 726,695 and 185,162.78

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Solution

The fourth proportional to 484,430.29, 726,695 and 185,162.78 is: 277,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,430.29 : 726,695 = 185,162.78 : x
  2. Step 2: Convert to fraction form
    484,430.29/726,695 = 185,162.78/x
  3. Step 3: Cross multiply
    484,430.29x = 726,695 × 185,162.78
  4. Step 4: Simplify right side
    484,430.29x = 134,556,866,412.10
  5. Step 5: Solve for x
    x = 134,556,866,412.10/484,430.29
  6. Step 6: Final answer
    x = 277,763.12

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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.