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Finding the Fourth Proportional to 486,095.40, 729,143.10 and 384,618.60

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Solution

The fourth proportional to 486,095.40, 729,143.10 and 384,618.60 is: 576,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,095.40 : 729,143.10 = 384,618.60 : x
  2. Step 2: Convert to fraction form
    486,095.40/729,143.10 = 384,618.60/x
  3. Step 3: Cross multiply
    486,095.40x = 729,143.10 × 384,618.60
  4. Step 4: Simplify right side
    486,095.40x = 280,441,998,321.66
  5. Step 5: Solve for x
    x = 280,441,998,321.66/486,095.40
  6. Step 6: Final answer
    x = 576,927.90

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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.