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Finding the Fourth Proportional to 417,586.77, 576,271.31 and 226,600.16

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Solution

The fourth proportional to 417,586.77, 576,271.31 and 226,600.16 is: 312,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,586.77 : 576,271.31 = 226,600.16 : x
  2. Step 2: Convert to fraction form
    417,586.77/576,271.31 = 226,600.16/x
  3. Step 3: Cross multiply
    417,586.77x = 576,271.31 × 226,600.16
  4. Step 4: Simplify right side
    417,586.77x = 130,583,167,035.05
  5. Step 5: Solve for x
    x = 130,583,167,035.05/417,586.77
  6. Step 6: Final answer
    x = 312,709.06

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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.