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Finding the Fourth Proportional to 408,035.20, 612,052.80 and 380,041.60

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Solution

The fourth proportional to 408,035.20, 612,052.80 and 380,041.60 is: 570,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,035.20 : 612,052.80 = 380,041.60 : x
  2. Step 2: Convert to fraction form
    408,035.20/612,052.80 = 380,041.60/x
  3. Step 3: Cross multiply
    408,035.20x = 612,052.80 × 380,041.60
  4. Step 4: Simplify right side
    408,035.20x = 232,605,525,396.48
  5. Step 5: Solve for x
    x = 232,605,525,396.48/408,035.20
  6. Step 6: Final answer
    x = 570,062.40

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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.