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Finding the Fourth Proportional to 484,002.40, 726,781.20 and 365,807.20

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Solution

The fourth proportional to 484,002.40, 726,781.20 and 365,807.20 is: 549,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,002.40 : 726,781.20 = 365,807.20 : x
  2. Step 2: Convert to fraction form
    484,002.40/726,781.20 = 365,807.20/x
  3. Step 3: Cross multiply
    484,002.40x = 726,781.20 × 365,807.20
  4. Step 4: Simplify right side
    484,002.40x = 265,861,795,784.64
  5. Step 5: Solve for x
    x = 265,861,795,784.64/484,002.40
  6. Step 6: Final answer
    x = 549,298.51

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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.