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Finding the Fourth Proportional to 664,029.16, 916,358.34 and 362,221

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Solution

The fourth proportional to 664,029.16, 916,358.34 and 362,221 is: 499,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,029.16 : 916,358.34 = 362,221 : x
  2. Step 2: Convert to fraction form
    664,029.16/916,358.34 = 362,221/x
  3. Step 3: Cross multiply
    664,029.16x = 916,358.34 × 362,221
  4. Step 4: Simplify right side
    664,029.16x = 331,924,234,273.14
  5. Step 5: Solve for x
    x = 331,924,234,273.14/664,029.16
  6. Step 6: Final answer
    x = 499,863.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.