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Finding the Fourth Proportional to 650,570.80, 975,929.10 and 201,288.10

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Solution

The fourth proportional to 650,570.80, 975,929.10 and 201,288.10 is: 301,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,570.80 : 975,929.10 = 201,288.10 : x
  2. Step 2: Convert to fraction form
    650,570.80/975,929.10 = 201,288.10/x
  3. Step 3: Cross multiply
    650,570.80x = 975,929.10 × 201,288.10
  4. Step 4: Simplify right side
    650,570.80x = 196,442,914,273.71
  5. Step 5: Solve for x
    x = 196,442,914,273.71/650,570.80
  6. Step 6: Final answer
    x = 301,954.71

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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.