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Finding the Fourth Proportional to 778,193.56, 1,167,302.02 and 217,231

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Solution

The fourth proportional to 778,193.56, 1,167,302.02 and 217,231 is: 325,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,193.56 : 1,167,302.02 = 217,231 : x
  2. Step 2: Convert to fraction form
    778,193.56/1,167,302.02 = 217,231/x
  3. Step 3: Cross multiply
    778,193.56x = 1,167,302.02 × 217,231
  4. Step 4: Simplify right side
    778,193.56x = 253,574,185,106.62
  5. Step 5: Solve for x
    x = 253,574,185,106.62/778,193.56
  6. Step 6: Final answer
    x = 325,849.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.