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Finding the Fourth Proportional to 417,438.35, 576,066.38 and 226,453.10

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Solution

The fourth proportional to 417,438.35, 576,066.38 and 226,453.10 is: 312,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,438.35 : 576,066.38 = 226,453.10 : x
  2. Step 2: Convert to fraction form
    417,438.35/576,066.38 = 226,453.10/x
  3. Step 3: Cross multiply
    417,438.35x = 576,066.38 × 226,453.10
  4. Step 4: Simplify right side
    417,438.35x = 130,452,013,544.18
  5. Step 5: Solve for x
    x = 130,452,013,544.18/417,438.35
  6. Step 6: Final answer
    x = 312,506.06

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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.