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Finding the Fourth Proportional to 417,583.55, 576,266.94 and 226,596.96

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Solution

The fourth proportional to 417,583.55, 576,266.94 and 226,596.96 is: 312,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,583.55 : 576,266.94 = 226,596.96 : x
  2. Step 2: Convert to fraction form
    417,583.55/576,266.94 = 226,596.96/x
  3. Step 3: Cross multiply
    417,583.55x = 576,266.94 × 226,596.96
  4. Step 4: Simplify right side
    417,583.55x = 130,580,336,752.50
  5. Step 5: Solve for x
    x = 130,580,336,752.50/417,583.55
  6. Step 6: Final answer
    x = 312,704.69

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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.