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Finding the Fourth Proportional to 475,025.40, 711,933.30 and 194,225.40

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Solution

The fourth proportional to 475,025.40, 711,933.30 and 194,225.40 is: 291,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,025.40 : 711,933.30 = 194,225.40 : x
  2. Step 2: Convert to fraction form
    475,025.40/711,933.30 = 194,225.40/x
  3. Step 3: Cross multiply
    475,025.40x = 711,933.30 × 194,225.40
  4. Step 4: Simplify right side
    475,025.40x = 138,275,529,965.82
  5. Step 5: Solve for x
    x = 138,275,529,965.82/475,025.40
  6. Step 6: Final answer
    x = 291,090.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.