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Finding the Fourth Proportional to 516,586.41, 774,937.63 and 137,521.90

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Solution

The fourth proportional to 516,586.41, 774,937.63 and 137,521.90 is: 206,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,586.41 : 774,937.63 = 137,521.90 : x
  2. Step 2: Convert to fraction form
    516,586.41/774,937.63 = 137,521.90/x
  3. Step 3: Cross multiply
    516,586.41x = 774,937.63 × 137,521.90
  4. Step 4: Simplify right side
    516,586.41x = 106,570,896,399.67
  5. Step 5: Solve for x
    x = 106,570,896,399.67/516,586.41
  6. Step 6: Final answer
    x = 206,298.30

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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.