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Finding the Fourth Proportional to 453,394.72, 680,048.34 and 137,854.36

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Solution

The fourth proportional to 453,394.72, 680,048.34 and 137,854.36 is: 206,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,394.72 : 680,048.34 = 137,854.36 : x
  2. Step 2: Convert to fraction form
    453,394.72/680,048.34 = 137,854.36/x
  3. Step 3: Cross multiply
    453,394.72x = 680,048.34 × 137,854.36
  4. Step 4: Simplify right side
    453,394.72x = 93,747,628,679.76
  5. Step 5: Solve for x
    x = 93,747,628,679.76/453,394.72
  6. Step 6: Final answer
    x = 206,768.24

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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.