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Finding the Fourth Proportional to 302,561.64, 417,545.10 and 166,605.66

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Solution

The fourth proportional to 302,561.64, 417,545.10 and 166,605.66 is: 229,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,561.64 : 417,545.10 = 166,605.66 : x
  2. Step 2: Convert to fraction form
    302,561.64/417,545.10 = 166,605.66/x
  3. Step 3: Cross multiply
    302,561.64x = 417,545.10 × 166,605.66
  4. Step 4: Simplify right side
    302,561.64x = 69,565,376,965.27
  5. Step 5: Solve for x
    x = 69,565,376,965.27/302,561.64
  6. Step 6: Final answer
    x = 229,921.34

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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.