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Finding the Fourth Proportional to 365,743.60, 547,546.20 and 260,767.60

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Solution

The fourth proportional to 365,743.60, 547,546.20 and 260,767.60 is: 390,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,743.60 : 547,546.20 = 260,767.60 : x
  2. Step 2: Convert to fraction form
    365,743.60/547,546.20 = 260,767.60/x
  3. Step 3: Cross multiply
    365,743.60x = 547,546.20 × 260,767.60
  4. Step 4: Simplify right side
    365,743.60x = 142,782,308,463.12
  5. Step 5: Solve for x
    x = 142,782,308,463.12/365,743.60
  6. Step 6: Final answer
    x = 390,389.08

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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.