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Finding the Fourth Proportional to 417,703.52, 576,431.96 and 226,716.91

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Solution

The fourth proportional to 417,703.52, 576,431.96 and 226,716.91 is: 312,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,703.52 : 576,431.96 = 226,716.91 : x
  2. Step 2: Convert to fraction form
    417,703.52/576,431.96 = 226,716.91/x
  3. Step 3: Cross multiply
    417,703.52x = 576,431.96 × 226,716.91
  4. Step 4: Simplify right side
    417,703.52x = 130,686,871,922.16
  5. Step 5: Solve for x
    x = 130,686,871,922.16/417,703.52
  6. Step 6: Final answer
    x = 312,869.94

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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.