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Finding the Fourth Proportional to 417,971.04, 576,794.84 and 226,985.78

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Solution

The fourth proportional to 417,971.04, 576,794.84 and 226,985.78 is: 313,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,971.04 : 576,794.84 = 226,985.78 : x
  2. Step 2: Convert to fraction form
    417,971.04/576,794.84 = 226,985.78/x
  3. Step 3: Cross multiply
    417,971.04x = 576,794.84 × 226,985.78
  4. Step 4: Simplify right side
    417,971.04x = 130,924,226,657.38
  5. Step 5: Solve for x
    x = 130,924,226,657.38/417,971.04
  6. Step 6: Final answer
    x = 313,237.56

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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.