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Finding the Fourth Proportional to 302,545.64, 417,522.93 and 166,589.57

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Solution

The fourth proportional to 302,545.64, 417,522.93 and 166,589.57 is: 229,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,545.64 : 417,522.93 = 166,589.57 : x
  2. Step 2: Convert to fraction form
    302,545.64/417,522.93 = 166,589.57/x
  3. Step 3: Cross multiply
    302,545.64x = 417,522.93 × 166,589.57
  4. Step 4: Simplify right side
    302,545.64x = 69,554,965,373.84
  5. Step 5: Solve for x
    x = 69,554,965,373.84/302,545.64
  6. Step 6: Final answer
    x = 229,899.08

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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.