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Finding the Fourth Proportional to 557,006.22, 835,468.02 and 177,911.64

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Solution

The fourth proportional to 557,006.22, 835,468.02 and 177,911.64 is: 266,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,006.22 : 835,468.02 = 177,911.64 : x
  2. Step 2: Convert to fraction form
    557,006.22/835,468.02 = 177,911.64/x
  3. Step 3: Cross multiply
    557,006.22x = 835,468.02 × 177,911.64
  4. Step 4: Simplify right side
    557,006.22x = 148,639,485,605.75
  5. Step 5: Solve for x
    x = 148,639,485,605.75/557,006.22
  6. Step 6: Final answer
    x = 266,854.27

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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.