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Finding the Fourth Proportional to 516,559.32, 774,846.75 and 196,728.86

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Solution

The fourth proportional to 516,559.32, 774,846.75 and 196,728.86 is: 295,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,559.32 : 774,846.75 = 196,728.86 : x
  2. Step 2: Convert to fraction form
    516,559.32/774,846.75 = 196,728.86/x
  3. Step 3: Cross multiply
    516,559.32x = 774,846.75 × 196,728.86
  4. Step 4: Simplify right side
    516,559.32x = 152,434,717,802.21
  5. Step 5: Solve for x
    x = 152,434,717,802.21/516,559.32
  6. Step 6: Final answer
    x = 295,096.25

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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.