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Finding the Fourth Proportional to 417,697.54, 576,421.15 and 226,710.93

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Solution

The fourth proportional to 417,697.54, 576,421.15 and 226,710.93 is: 312,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,697.54 : 576,421.15 = 226,710.93 : x
  2. Step 2: Convert to fraction form
    417,697.54/576,421.15 = 226,710.93/x
  3. Step 3: Cross multiply
    417,697.54x = 576,421.15 × 226,710.93
  4. Step 4: Simplify right side
    417,697.54x = 130,680,974,421.39
  5. Step 5: Solve for x
    x = 130,680,974,421.39/417,697.54
  6. Step 6: Final answer
    x = 312,860.29

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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.