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Finding the Fourth Proportional to 409,416.21, 614,124.32 and 159,923.25

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Solution

The fourth proportional to 409,416.21, 614,124.32 and 159,923.25 is: 239,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,416.21 : 614,124.32 = 159,923.25 : x
  2. Step 2: Convert to fraction form
    409,416.21/614,124.32 = 159,923.25/x
  3. Step 3: Cross multiply
    409,416.21x = 614,124.32 × 159,923.25
  4. Step 4: Simplify right side
    409,416.21x = 98,212,756,358.82
  5. Step 5: Solve for x
    x = 98,212,756,358.82/409,416.21
  6. Step 6: Final answer
    x = 239,884.88

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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.