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Finding the Fourth Proportional to 417,698.31, 576,408.23 and 226,707.60

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Solution

The fourth proportional to 417,698.31, 576,408.23 and 226,707.60 is: 312,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,698.31 : 576,408.23 = 226,707.60 : x
  2. Step 2: Convert to fraction form
    417,698.31/576,408.23 = 226,707.60/x
  3. Step 3: Cross multiply
    417,698.31x = 576,408.23 × 226,707.60
  4. Step 4: Simplify right side
    417,698.31x = 130,676,125,310.01
  5. Step 5: Solve for x
    x = 130,676,125,310.01/417,698.31
  6. Step 6: Final answer
    x = 312,848.11

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1.5x scale

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.