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Finding the Fourth Proportional to 409,185.30, 613,384.23 and 209,599.68

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Solution

The fourth proportional to 409,185.30, 613,384.23 and 209,599.68 is: 314,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,185.30 : 613,384.23 = 209,599.68 : x
  2. Step 2: Convert to fraction form
    409,185.30/613,384.23 = 209,599.68/x
  3. Step 3: Cross multiply
    409,185.30x = 613,384.23 × 209,599.68
  4. Step 4: Simplify right side
    409,185.30x = 128,565,138,325.05
  5. Step 5: Solve for x
    x = 128,565,138,325.05/409,185.30
  6. Step 6: Final answer
    x = 314,197.84

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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.