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Finding the Fourth Proportional to 417,505.60, 576,157.78 and 226,519.02

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Solution

The fourth proportional to 417,505.60, 576,157.78 and 226,519.02 is: 312,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,505.60 : 576,157.78 = 226,519.02 : x
  2. Step 2: Convert to fraction form
    417,505.60/576,157.78 = 226,519.02/x
  3. Step 3: Cross multiply
    417,505.60x = 576,157.78 × 226,519.02
  4. Step 4: Simplify right side
    417,505.60x = 130,510,695,690.98
  5. Step 5: Solve for x
    x = 130,510,695,690.98/417,505.60
  6. Step 6: Final answer
    x = 312,596.28

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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.