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Finding the Fourth Proportional to 825,681, 1,238,729.58 and 234,705

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Solution

The fourth proportional to 825,681, 1,238,729.58 and 234,705 is: 352,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,681 : 1,238,729.58 = 234,705 : x
  2. Step 2: Convert to fraction form
    825,681/1,238,729.58 = 234,705/x
  3. Step 3: Cross multiply
    825,681x = 1,238,729.58 × 234,705
  4. Step 4: Simplify right side
    825,681x = 290,736,026,073.90
  5. Step 5: Solve for x
    x = 290,736,026,073.90/825,681
  6. Step 6: Final answer
    x = 352,116.65

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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.