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Finding the Fourth Proportional to 296,959.86, 443,808.62 and 217,165.34

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Solution

The fourth proportional to 296,959.86, 443,808.62 and 217,165.34 is: 324,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,959.86 : 443,808.62 = 217,165.34 : x
  2. Step 2: Convert to fraction form
    296,959.86/443,808.62 = 217,165.34/x
  3. Step 3: Cross multiply
    296,959.86x = 443,808.62 × 217,165.34
  4. Step 4: Simplify right side
    296,959.86x = 96,379,849,857.23
  5. Step 5: Solve for x
    x = 96,379,849,857.23/296,959.86
  6. Step 6: Final answer
    x = 324,555.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.