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Finding the Fourth Proportional to 417,727.98, 576,464.85 and 226,741.32

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Solution

The fourth proportional to 417,727.98, 576,464.85 and 226,741.32 is: 312,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,727.98 : 576,464.85 = 226,741.32 : x
  2. Step 2: Convert to fraction form
    417,727.98/576,464.85 = 226,741.32/x
  3. Step 3: Cross multiply
    417,727.98x = 576,464.85 × 226,741.32
  4. Step 4: Simplify right side
    417,727.98x = 130,708,401,022.60
  5. Step 5: Solve for x
    x = 130,708,401,022.60/417,727.98
  6. Step 6: Final answer
    x = 312,903.15

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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.