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Finding the Fourth Proportional to 214,294.48, 321,410.13 and 56,534.02

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Solution

The fourth proportional to 214,294.48, 321,410.13 and 56,534.02 is: 84,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,294.48 : 321,410.13 = 56,534.02 : x
  2. Step 2: Convert to fraction form
    214,294.48/321,410.13 = 56,534.02/x
  3. Step 3: Cross multiply
    214,294.48x = 321,410.13 × 56,534.02
  4. Step 4: Simplify right side
    214,294.48x = 18,170,606,717.62
  5. Step 5: Solve for x
    x = 18,170,606,717.62/214,294.48
  6. Step 6: Final answer
    x = 84,792.70

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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.