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Finding the Fourth Proportional to 516,655.13, 774,993.38 and 188,008.67

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Solution

The fourth proportional to 516,655.13, 774,993.38 and 188,008.67 is: 282,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,655.13 : 774,993.38 = 188,008.67 : x
  2. Step 2: Convert to fraction form
    516,655.13/774,993.38 = 188,008.67/x
  3. Step 3: Cross multiply
    516,655.13x = 774,993.38 × 188,008.67
  4. Step 4: Simplify right side
    516,655.13x = 145,705,475,630.05
  5. Step 5: Solve for x
    x = 145,705,475,630.05/516,655.13
  6. Step 6: Final answer
    x = 282,016.90

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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.