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Finding the Fourth Proportional to 557,047.08, 835,690.50 and 177,878.64

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Solution

The fourth proportional to 557,047.08, 835,690.50 and 177,878.64 is: 266,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,047.08 : 835,690.50 = 177,878.64 : x
  2. Step 2: Convert to fraction form
    557,047.08/835,690.50 = 177,878.64/x
  3. Step 3: Cross multiply
    557,047.08x = 835,690.50 × 177,878.64
  4. Step 4: Simplify right side
    557,047.08x = 148,651,489,600.92
  5. Step 5: Solve for x
    x = 148,651,489,600.92/557,047.08
  6. Step 6: Final answer
    x = 266,856.24

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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.