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Finding the Fourth Proportional to 329,832.98, 454,934.85 and 302,696.69

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Solution

The fourth proportional to 329,832.98, 454,934.85 and 302,696.69 is: 417,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,832.98 : 454,934.85 = 302,696.69 : x
  2. Step 2: Convert to fraction form
    329,832.98/454,934.85 = 302,696.69/x
  3. Step 3: Cross multiply
    329,832.98x = 454,934.85 × 302,696.69
  4. Step 4: Simplify right side
    329,832.98x = 137,707,270,985.97
  5. Step 5: Solve for x
    x = 137,707,270,985.97/329,832.98
  6. Step 6: Final answer
    x = 417,506.08

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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.