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Finding the Fourth Proportional to 417,600.84, 576,290.70 and 226,614.24

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Solution

The fourth proportional to 417,600.84, 576,290.70 and 226,614.24 is: 312,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,600.84 : 576,290.70 = 226,614.24 : x
  2. Step 2: Convert to fraction form
    417,600.84/576,290.70 = 226,614.24/x
  3. Step 3: Cross multiply
    417,600.84x = 576,290.70 × 226,614.24
  4. Step 4: Simplify right side
    417,600.84x = 130,595,678,999.57
  5. Step 5: Solve for x
    x = 130,595,678,999.57/417,600.84
  6. Step 6: Final answer
    x = 312,728.49

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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.