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Finding the Fourth Proportional to 290,077.60, 435,116.40 and 165,431.20

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Solution

The fourth proportional to 290,077.60, 435,116.40 and 165,431.20 is: 248,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,077.60 : 435,116.40 = 165,431.20 : x
  2. Step 2: Convert to fraction form
    290,077.60/435,116.40 = 165,431.20/x
  3. Step 3: Cross multiply
    290,077.60x = 435,116.40 × 165,431.20
  4. Step 4: Simplify right side
    290,077.60x = 71,981,828,191.68
  5. Step 5: Solve for x
    x = 71,981,828,191.68/290,077.60
  6. Step 6: Final answer
    x = 248,146.80

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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.