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Finding the Fourth Proportional to 409,282.01, 564,815 and 234,880.60

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Solution

The fourth proportional to 409,282.01, 564,815 and 234,880.60 is: 324,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,282.01 : 564,815 = 234,880.60 : x
  2. Step 2: Convert to fraction form
    409,282.01/564,815 = 234,880.60/x
  3. Step 3: Cross multiply
    409,282.01x = 564,815 × 234,880.60
  4. Step 4: Simplify right side
    409,282.01x = 132,664,086,089
  5. Step 5: Solve for x
    x = 132,664,086,089/409,282.01
  6. Step 6: Final answer
    x = 324,138.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.