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Finding the Fourth Proportional to 767,169, 1,150,711.74 and 234,690.03

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Solution

The fourth proportional to 767,169, 1,150,711.74 and 234,690.03 is: 352,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,169 : 1,150,711.74 = 234,690.03 : x
  2. Step 2: Convert to fraction form
    767,169/1,150,711.74 = 234,690.03/x
  3. Step 3: Cross multiply
    767,169x = 1,150,711.74 × 234,690.03
  4. Step 4: Simplify right side
    767,169x = 270,060,572,781.95
  5. Step 5: Solve for x
    x = 270,060,572,781.95/767,169
  6. Step 6: Final answer
    x = 352,022.27

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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.