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Finding the Fourth Proportional to 293,607.20, 440,410.80 and 153,408.80

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Solution

The fourth proportional to 293,607.20, 440,410.80 and 153,408.80 is: 230,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,607.20 : 440,410.80 = 153,408.80 : x
  2. Step 2: Convert to fraction form
    293,607.20/440,410.80 = 153,408.80/x
  3. Step 3: Cross multiply
    293,607.20x = 440,410.80 × 153,408.80
  4. Step 4: Simplify right side
    293,607.20x = 67,562,892,335.04
  5. Step 5: Solve for x
    x = 67,562,892,335.04/293,607.20
  6. Step 6: Final answer
    x = 230,113.20

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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.