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Finding the Fourth Proportional to 810,409, 1,215,665.34 and 311,773

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Solution

The fourth proportional to 810,409, 1,215,665.34 and 311,773 is: 467,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,409 : 1,215,665.34 = 311,773 : x
  2. Step 2: Convert to fraction form
    810,409/1,215,665.34 = 311,773/x
  3. Step 3: Cross multiply
    810,409x = 1,215,665.34 × 311,773
  4. Step 4: Simplify right side
    810,409x = 379,011,630,047.82
  5. Step 5: Solve for x
    x = 379,011,630,047.82/810,409
  6. Step 6: Final answer
    x = 467,679.44

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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.