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Finding the Fourth Proportional to 416,777.34, 624,881.40 and 200,521.92

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Solution

The fourth proportional to 416,777.34, 624,881.40 and 200,521.92 is: 300,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,777.34 : 624,881.40 = 200,521.92 : x
  2. Step 2: Convert to fraction form
    416,777.34/624,881.40 = 200,521.92/x
  3. Step 3: Cross multiply
    416,777.34x = 624,881.40 × 200,521.92
  4. Step 4: Simplify right side
    416,777.34x = 125,302,418,100.29
  5. Step 5: Solve for x
    x = 125,302,418,100.29/416,777.34
  6. Step 6: Final answer
    x = 300,645.95

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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.