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Finding the Fourth Proportional to 825,706, 1,238,767.16 and 234,730

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Solution

The fourth proportional to 825,706, 1,238,767.16 and 234,730 is: 352,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,706 : 1,238,767.16 = 234,730 : x
  2. Step 2: Convert to fraction form
    825,706/1,238,767.16 = 234,730/x
  3. Step 3: Cross multiply
    825,706x = 1,238,767.16 × 234,730
  4. Step 4: Simplify right side
    825,706x = 290,775,815,466.80
  5. Step 5: Solve for x
    x = 290,775,815,466.80/825,706
  6. Step 6: Final answer
    x = 352,154.18

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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.