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Finding the Fourth Proportional to 309,227.10, 463,792.05 and 109,518.90

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Solution

The fourth proportional to 309,227.10, 463,792.05 and 109,518.90 is: 164,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,227.10 : 463,792.05 = 109,518.90 : x
  2. Step 2: Convert to fraction form
    309,227.10/463,792.05 = 109,518.90/x
  3. Step 3: Cross multiply
    309,227.10x = 463,792.05 × 109,518.90
  4. Step 4: Simplify right side
    309,227.10x = 50,793,995,144.75
  5. Step 5: Solve for x
    x = 50,793,995,144.75/309,227.10
  6. Step 6: Final answer
    x = 164,261.14

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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.