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Finding the Fourth Proportional to 437,760.40, 656,640.60 and 380,023.60

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Solution

The fourth proportional to 437,760.40, 656,640.60 and 380,023.60 is: 570,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,760.40 : 656,640.60 = 380,023.60 : x
  2. Step 2: Convert to fraction form
    437,760.40/656,640.60 = 380,023.60/x
  3. Step 3: Cross multiply
    437,760.40x = 656,640.60 × 380,023.60
  4. Step 4: Simplify right side
    437,760.40x = 249,538,924,718.16
  5. Step 5: Solve for x
    x = 249,538,924,718.16/437,760.40
  6. Step 6: Final answer
    x = 570,035.40

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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.