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Finding the Fourth Proportional to 411,138.15, 616,707.23 and 341,154.15

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Solution

The fourth proportional to 411,138.15, 616,707.23 and 341,154.15 is: 511,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,138.15 : 616,707.23 = 341,154.15 : x
  2. Step 2: Convert to fraction form
    411,138.15/616,707.23 = 341,154.15/x
  3. Step 3: Cross multiply
    411,138.15x = 616,707.23 × 341,154.15
  4. Step 4: Simplify right side
    411,138.15x = 210,392,229,143.73
  5. Step 5: Solve for x
    x = 210,392,229,143.73/411,138.15
  6. Step 6: Final answer
    x = 511,731.23

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1.5x scale

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.