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Finding the Fourth Proportional to 413,480.97, 620,068.37 and 147,169.98

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Solution

The fourth proportional to 413,480.97, 620,068.37 and 147,169.98 is: 220,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,480.97 : 620,068.37 = 147,169.98 : x
  2. Step 2: Convert to fraction form
    413,480.97/620,068.37 = 147,169.98/x
  3. Step 3: Cross multiply
    413,480.97x = 620,068.37 × 147,169.98
  4. Step 4: Simplify right side
    413,480.97x = 91,255,448,875.68
  5. Step 5: Solve for x
    x = 91,255,448,875.68/413,480.97
  6. Step 6: Final answer
    x = 220,700.48

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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.