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Finding the Fourth Proportional to 331,886.72, 497,453.32 and 291,828.17

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Solution

The fourth proportional to 331,886.72, 497,453.32 and 291,828.17 is: 437,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,886.72 : 497,453.32 = 291,828.17 : x
  2. Step 2: Convert to fraction form
    331,886.72/497,453.32 = 291,828.17/x
  3. Step 3: Cross multiply
    331,886.72x = 497,453.32 × 291,828.17
  4. Step 4: Simplify right side
    331,886.72x = 145,170,891,306.45
  5. Step 5: Solve for x
    x = 145,170,891,306.45/331,886.72
  6. Step 6: Final answer
    x = 437,410.97

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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.