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Finding the Fourth Proportional to 864,257.10, 1,192,295.05 and 824,235

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Solution

The fourth proportional to 864,257.10, 1,192,295.05 and 824,235 is: 1,137,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,257.10 : 1,192,295.05 = 824,235 : x
  2. Step 2: Convert to fraction form
    864,257.10/1,192,295.05 = 824,235/x
  3. Step 3: Cross multiply
    864,257.10x = 1,192,295.05 × 824,235
  4. Step 4: Simplify right side
    864,257.10x = 982,731,310,536.75
  5. Step 5: Solve for x
    x = 982,731,310,536.75/864,257.10
  6. Step 6: Final answer
    x = 1,137,082.14

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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.