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Finding the Fourth Proportional to 417,722.72, 576,457.80 and 226,736.04

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Solution

The fourth proportional to 417,722.72, 576,457.80 and 226,736.04 is: 312,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,722.72 : 576,457.80 = 226,736.04 : x
  2. Step 2: Convert to fraction form
    417,722.72/576,457.80 = 226,736.04/x
  3. Step 3: Cross multiply
    417,722.72x = 576,457.80 × 226,736.04
  4. Step 4: Simplify right side
    417,722.72x = 130,703,758,799.11
  5. Step 5: Solve for x
    x = 130,703,758,799.11/417,722.72
  6. Step 6: Final answer
    x = 312,895.98

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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.