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Finding the Fourth Proportional to 417,957.86, 576,776.78 and 226,972.62

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Solution

The fourth proportional to 417,957.86, 576,776.78 and 226,972.62 is: 313,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,957.86 : 576,776.78 = 226,972.62 : x
  2. Step 2: Convert to fraction form
    417,957.86/576,776.78 = 226,972.62/x
  3. Step 3: Cross multiply
    417,957.86x = 576,776.78 × 226,972.62
  4. Step 4: Simplify right side
    417,957.86x = 130,912,536,911.76
  5. Step 5: Solve for x
    x = 130,912,536,911.76/417,957.86
  6. Step 6: Final answer
    x = 313,219.46

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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.