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Finding the Fourth Proportional to 417,630.50, 576,330.51 and 226,643.93

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Solution

The fourth proportional to 417,630.50, 576,330.51 and 226,643.93 is: 312,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,630.50 : 576,330.51 = 226,643.93 : x
  2. Step 2: Convert to fraction form
    417,630.50/576,330.51 = 226,643.93/x
  3. Step 3: Cross multiply
    417,630.50x = 576,330.51 × 226,643.93
  4. Step 4: Simplify right side
    417,630.50x = 130,621,811,765.30
  5. Step 5: Solve for x
    x = 130,621,811,765.30/417,630.50
  6. Step 6: Final answer
    x = 312,768.85

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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.