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Finding the Fourth Proportional to 290,481.60, 435,722.40 and 165,835.20

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Solution

The fourth proportional to 290,481.60, 435,722.40 and 165,835.20 is: 248,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,481.60 : 435,722.40 = 165,835.20 : x
  2. Step 2: Convert to fraction form
    290,481.60/435,722.40 = 165,835.20/x
  3. Step 3: Cross multiply
    290,481.60x = 435,722.40 × 165,835.20
  4. Step 4: Simplify right side
    290,481.60x = 72,258,111,348.48
  5. Step 5: Solve for x
    x = 72,258,111,348.48/290,481.60
  6. Step 6: Final answer
    x = 248,752.80

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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.