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Finding the Fourth Proportional to 810,398.68, 1,215,649.86 and 311,762.68

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Solution

The fourth proportional to 810,398.68, 1,215,649.86 and 311,762.68 is: 467,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,398.68 : 1,215,649.86 = 311,762.68 : x
  2. Step 2: Convert to fraction form
    810,398.68/1,215,649.86 = 311,762.68/x
  3. Step 3: Cross multiply
    810,398.68x = 1,215,649.86 × 311,762.68
  4. Step 4: Simplify right side
    810,398.68x = 378,994,254,086.99
  5. Step 5: Solve for x
    x = 378,994,254,086.99/810,398.68
  6. Step 6: Final answer
    x = 467,663.96

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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.