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Finding the Fourth Proportional to 577,173.82, 865,875.55 and 177,797.56

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Solution

The fourth proportional to 577,173.82, 865,875.55 and 177,797.56 is: 266,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,173.82 : 865,875.55 = 177,797.56 : x
  2. Step 2: Convert to fraction form
    577,173.82/865,875.55 = 177,797.56/x
  3. Step 3: Cross multiply
    577,173.82x = 865,875.55 × 177,797.56
  4. Step 4: Simplify right side
    577,173.82x = 153,950,555,724.28
  5. Step 5: Solve for x
    x = 153,950,555,724.28/577,173.82
  6. Step 6: Final answer
    x = 266,731.70

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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.