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Finding the Fourth Proportional to 417,715.76, 576,448.37 and 226,729.30

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Solution

The fourth proportional to 417,715.76, 576,448.37 and 226,729.30 is: 312,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,715.76 : 576,448.37 = 226,729.30 : x
  2. Step 2: Convert to fraction form
    417,715.76/576,448.37 = 226,729.30/x
  3. Step 3: Cross multiply
    417,715.76x = 576,448.37 × 226,729.30
  4. Step 4: Simplify right side
    417,715.76x = 130,697,735,416.24
  5. Step 5: Solve for x
    x = 130,697,735,416.24/417,715.76
  6. Step 6: Final answer
    x = 312,886.77

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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.