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Finding the Fourth Proportional to 417,957.74, 576,776.60 and 226,972.50

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Solution

The fourth proportional to 417,957.74, 576,776.60 and 226,972.50 is: 313,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,957.74 : 576,776.60 = 226,972.50 : x
  2. Step 2: Convert to fraction form
    417,957.74/576,776.60 = 226,972.50/x
  3. Step 3: Cross multiply
    417,957.74x = 576,776.60 × 226,972.50
  4. Step 4: Simplify right side
    417,957.74x = 130,912,424,396.87
  5. Step 5: Solve for x
    x = 130,912,424,396.87/417,957.74
  6. Step 6: Final answer
    x = 313,219.29

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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.