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Finding the Fourth Proportional to 851,712, 1,277,784 and 319,234.56

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Solution

The fourth proportional to 851,712, 1,277,784 and 319,234.56 is: 478,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,712 : 1,277,784 = 319,234.56 : x
  2. Step 2: Convert to fraction form
    851,712/1,277,784 = 319,234.56/x
  3. Step 3: Cross multiply
    851,712x = 1,277,784 × 319,234.56
  4. Step 4: Simplify right side
    851,712x = 407,912,813,015.04
  5. Step 5: Solve for x
    x = 407,912,813,015.04/851,712
  6. Step 6: Final answer
    x = 478,932.80

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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.