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Finding the Fourth Proportional to 330,647.16, 496,111.16 and 180,712.28

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Solution

The fourth proportional to 330,647.16, 496,111.16 and 180,712.28 is: 271,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,647.16 : 496,111.16 = 180,712.28 : x
  2. Step 2: Convert to fraction form
    330,647.16/496,111.16 = 180,712.28/x
  3. Step 3: Cross multiply
    330,647.16x = 496,111.16 × 180,712.28
  4. Step 4: Simplify right side
    330,647.16x = 89,653,380,549.10
  5. Step 5: Solve for x
    x = 89,653,380,549.10/330,647.16
  6. Step 6: Final answer
    x = 271,145.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.