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Finding the Fourth Proportional to 577,205.21, 865,947.93 and 177,845.97

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Solution

The fourth proportional to 577,205.21, 865,947.93 and 177,845.97 is: 266,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,205.21 : 865,947.93 = 177,845.97 : x
  2. Step 2: Convert to fraction form
    577,205.21/865,947.93 = 177,845.97/x
  3. Step 3: Cross multiply
    577,205.21x = 865,947.93 × 177,845.97
  4. Step 4: Simplify right side
    577,205.21x = 154,005,349,580.34
  5. Step 5: Solve for x
    x = 154,005,349,580.34/577,205.21
  6. Step 6: Final answer
    x = 266,812.13

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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.