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Finding the Fourth Proportional to 577,116.74, 865,768.13 and 177,757.32

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Solution

The fourth proportional to 577,116.74, 865,768.13 and 177,757.32 is: 266,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,116.74 : 865,768.13 = 177,757.32 : x
  2. Step 2: Convert to fraction form
    577,116.74/865,768.13 = 177,757.32/x
  3. Step 3: Cross multiply
    577,116.74x = 865,768.13 × 177,757.32
  4. Step 4: Simplify right side
    577,116.74x = 153,896,621,641.43
  5. Step 5: Solve for x
    x = 153,896,621,641.43/577,116.74
  6. Step 6: Final answer
    x = 266,664.63

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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.