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Finding the Fourth Proportional to 419,060.31, 578,315.52 and 228,086.07

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Solution

The fourth proportional to 419,060.31, 578,315.52 and 228,086.07 is: 314,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,060.31 : 578,315.52 = 228,086.07 : x
  2. Step 2: Convert to fraction form
    419,060.31/578,315.52 = 228,086.07/x
  3. Step 3: Cross multiply
    419,060.31x = 578,315.52 × 228,086.07
  4. Step 4: Simplify right side
    419,060.31x = 131,905,714,176.81
  5. Step 5: Solve for x
    x = 131,905,714,176.81/419,060.31
  6. Step 6: Final answer
    x = 314,765.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.