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Finding the Fourth Proportional to 302,238.74, 417,083.66 and 166,264.74

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Solution

The fourth proportional to 302,238.74, 417,083.66 and 166,264.74 is: 229,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,238.74 : 417,083.66 = 166,264.74 : x
  2. Step 2: Convert to fraction form
    302,238.74/417,083.66 = 166,264.74/x
  3. Step 3: Cross multiply
    302,238.74x = 417,083.66 × 166,264.74
  4. Step 4: Simplify right side
    302,238.74x = 69,346,305,456.82
  5. Step 5: Solve for x
    x = 69,346,305,456.82/302,238.74
  6. Step 6: Final answer
    x = 229,442.15

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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.