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Finding the Fourth Proportional to 417,438.33, 576,066 and 226,451.73

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Solution

The fourth proportional to 417,438.33, 576,066 and 226,451.73 is: 312,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,438.33 : 576,066 = 226,451.73 : x
  2. Step 2: Convert to fraction form
    417,438.33/576,066 = 226,451.73/x
  3. Step 3: Cross multiply
    417,438.33x = 576,066 × 226,451.73
  4. Step 4: Simplify right side
    417,438.33x = 130,451,142,294.18
  5. Step 5: Solve for x
    x = 130,451,142,294.18/417,438.33
  6. Step 6: Final answer
    x = 312,503.99

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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.