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Finding the Fourth Proportional to 417,704.95, 576,433.49 and 226,718.42

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Solution

The fourth proportional to 417,704.95, 576,433.49 and 226,718.42 is: 312,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,704.95 : 576,433.49 = 226,718.42 : x
  2. Step 2: Convert to fraction form
    417,704.95/576,433.49 = 226,718.42/x
  3. Step 3: Cross multiply
    417,704.95x = 576,433.49 × 226,718.42
  4. Step 4: Simplify right side
    417,704.95x = 130,688,090,087.89
  5. Step 5: Solve for x
    x = 130,688,090,087.89/417,704.95
  6. Step 6: Final answer
    x = 312,871.78

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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.