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Finding the Fourth Proportional to 409,098.69, 613,746.44 and 128,615.73

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Solution

The fourth proportional to 409,098.69, 613,746.44 and 128,615.73 is: 192,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,098.69 : 613,746.44 = 128,615.73 : x
  2. Step 2: Convert to fraction form
    409,098.69/613,746.44 = 128,615.73/x
  3. Step 3: Cross multiply
    409,098.69x = 613,746.44 × 128,615.73
  4. Step 4: Simplify right side
    409,098.69x = 78,937,445,772.42
  5. Step 5: Solve for x
    x = 78,937,445,772.42/409,098.69
  6. Step 6: Final answer
    x = 192,954.53

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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.