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Finding the Fourth Proportional to 516,684.96, 774,978.84 and 179,643.96

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Solution

The fourth proportional to 516,684.96, 774,978.84 and 179,643.96 is: 269,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,684.96 : 774,978.84 = 179,643.96 : x
  2. Step 2: Convert to fraction form
    516,684.96/774,978.84 = 179,643.96/x
  3. Step 3: Cross multiply
    516,684.96x = 774,978.84 × 179,643.96
  4. Step 4: Simplify right side
    516,684.96x = 139,220,267,733.81
  5. Step 5: Solve for x
    x = 139,220,267,733.81/516,684.96
  6. Step 6: Final answer
    x = 269,449.04

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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.