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Finding the Fourth Proportional to 417,589.01, 576,274.32 and 226,602.41

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Solution

The fourth proportional to 417,589.01, 576,274.32 and 226,602.41 is: 312,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,589.01 : 576,274.32 = 226,602.41 : x
  2. Step 2: Convert to fraction form
    417,589.01/576,274.32 = 226,602.41/x
  3. Step 3: Cross multiply
    417,589.01x = 576,274.32 × 226,602.41
  4. Step 4: Simplify right side
    417,589.01x = 130,585,146,851.74
  5. Step 5: Solve for x
    x = 130,585,146,851.74/417,589.01
  6. Step 6: Final answer
    x = 312,712.12

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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.