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Finding the Fourth Proportional to 516,575.30, 774,972.30 and 156,716.60

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Solution

The fourth proportional to 516,575.30, 774,972.30 and 156,716.60 is: 235,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,575.30 : 774,972.30 = 156,716.60 : x
  2. Step 2: Convert to fraction form
    516,575.30/774,972.30 = 156,716.60/x
  3. Step 3: Cross multiply
    516,575.30x = 774,972.30 × 156,716.60
  4. Step 4: Simplify right side
    516,575.30x = 121,451,023,950.18
  5. Step 5: Solve for x
    x = 121,451,023,950.18/516,575.30
  6. Step 6: Final answer
    x = 235,108.07

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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.