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Finding the Fourth Proportional to 517,923.86, 714,754.33 and 285,360.37

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Solution

The fourth proportional to 517,923.86, 714,754.33 and 285,360.37 is: 393,808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,923.86 : 714,754.33 = 285,360.37 : x
  2. Step 2: Convert to fraction form
    517,923.86/714,754.33 = 285,360.37/x
  3. Step 3: Cross multiply
    517,923.86x = 714,754.33 × 285,360.37
  4. Step 4: Simplify right side
    517,923.86x = 203,962,557,567.62
  5. Step 5: Solve for x
    x = 203,962,557,567.62/517,923.86
  6. Step 6: Final answer
    x = 393,808.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.