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Finding the Fourth Proportional to 415,201.60, 622,802.40 and 265,610.80

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Solution

The fourth proportional to 415,201.60, 622,802.40 and 265,610.80 is: 398,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,201.60 : 622,802.40 = 265,610.80 : x
  2. Step 2: Convert to fraction form
    415,201.60/622,802.40 = 265,610.80/x
  3. Step 3: Cross multiply
    415,201.60x = 622,802.40 × 265,610.80
  4. Step 4: Simplify right side
    415,201.60x = 165,423,043,705.92
  5. Step 5: Solve for x
    x = 165,423,043,705.92/415,201.60
  6. Step 6: Final answer
    x = 398,416.20

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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.