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Finding the Fourth Proportional to 302,219.77, 417,054.92 and 164,394.12

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Solution

The fourth proportional to 302,219.77, 417,054.92 and 164,394.12 is: 226,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,219.77 : 417,054.92 = 164,394.12 : x
  2. Step 2: Convert to fraction form
    302,219.77/417,054.92 = 164,394.12/x
  3. Step 3: Cross multiply
    302,219.77x = 417,054.92 × 164,394.12
  4. Step 4: Simplify right side
    302,219.77x = 68,561,376,565.07
  5. Step 5: Solve for x
    x = 68,561,376,565.07/302,219.77
  6. Step 6: Final answer
    x = 226,859.34

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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.