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Finding the Fourth Proportional to 550,048.40, 825,218.40 and 195,025.40

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Solution

The fourth proportional to 550,048.40, 825,218.40 and 195,025.40 is: 292,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,048.40 : 825,218.40 = 195,025.40 : x
  2. Step 2: Convert to fraction form
    550,048.40/825,218.40 = 195,025.40/x
  3. Step 3: Cross multiply
    550,048.40x = 825,218.40 × 195,025.40
  4. Step 4: Simplify right side
    550,048.40x = 160,938,548,547.36
  5. Step 5: Solve for x
    x = 160,938,548,547.36/550,048.40
  6. Step 6: Final answer
    x = 292,589.79

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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.