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Finding the Fourth Proportional to 825,666, 1,238,707.08 and 234,690

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Solution

The fourth proportional to 825,666, 1,238,707.08 and 234,690 is: 352,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,666 : 1,238,707.08 = 234,690 : x
  2. Step 2: Convert to fraction form
    825,666/1,238,707.08 = 234,690/x
  3. Step 3: Cross multiply
    825,666x = 1,238,707.08 × 234,690
  4. Step 4: Simplify right side
    825,666x = 290,712,164,605.20
  5. Step 5: Solve for x
    x = 290,712,164,605.20/825,666
  6. Step 6: Final answer
    x = 352,094.15

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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.