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Finding the Fourth Proportional to 387,727.80, 581,687.70 and 177,321.40

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Solution

The fourth proportional to 387,727.80, 581,687.70 and 177,321.40 is: 266,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,727.80 : 581,687.70 = 177,321.40 : x
  2. Step 2: Convert to fraction form
    387,727.80/581,687.70 = 177,321.40/x
  3. Step 3: Cross multiply
    387,727.80x = 581,687.70 × 177,321.40
  4. Step 4: Simplify right side
    387,727.80x = 103,145,677,326.78
  5. Step 5: Solve for x
    x = 103,145,677,326.78/387,727.80
  6. Step 6: Final answer
    x = 266,026.00

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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.