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Finding the Fourth Proportional to 434,686.16, 651,959.26 and 119,069.30

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Solution

The fourth proportional to 434,686.16, 651,959.26 and 119,069.30 is: 178,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,686.16 : 651,959.26 = 119,069.30 : x
  2. Step 2: Convert to fraction form
    434,686.16/651,959.26 = 119,069.30/x
  3. Step 3: Cross multiply
    434,686.16x = 651,959.26 × 119,069.30
  4. Step 4: Simplify right side
    434,686.16x = 77,628,332,716.72
  5. Step 5: Solve for x
    x = 77,628,332,716.72/434,686.16
  6. Step 6: Final answer
    x = 178,584.78

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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.