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Finding the Fourth Proportional to 409,099.38, 613,904.70 and 156,401.26

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Solution

The fourth proportional to 409,099.38, 613,904.70 and 156,401.26 is: 234,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,099.38 : 613,904.70 = 156,401.26 : x
  2. Step 2: Convert to fraction form
    409,099.38/613,904.70 = 156,401.26/x
  3. Step 3: Cross multiply
    409,099.38x = 613,904.70 × 156,401.26
  4. Step 4: Simplify right side
    409,099.38x = 96,015,468,599.92
  5. Step 5: Solve for x
    x = 96,015,468,599.92/409,099.38
  6. Step 6: Final answer
    x = 234,699.62

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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.