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Finding the Fourth Proportional to 330,514.56, 497,977.32 and 298,961.28

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Solution

The fourth proportional to 330,514.56, 497,977.32 and 298,961.28 is: 450,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,514.56 : 497,977.32 = 298,961.28 : x
  2. Step 2: Convert to fraction form
    330,514.56/497,977.32 = 298,961.28/x
  3. Step 3: Cross multiply
    330,514.56x = 497,977.32 × 298,961.28
  4. Step 4: Simplify right side
    330,514.56x = 148,875,936,998.17
  5. Step 5: Solve for x
    x = 148,875,936,998.17/330,514.56
  6. Step 6: Final answer
    x = 450,436.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.