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Finding the Fourth Proportional to 384,421.92, 530,514 and 214,663.20

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Solution

The fourth proportional to 384,421.92, 530,514 and 214,663.20 is: 296,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,421.92 : 530,514 = 214,663.20 : x
  2. Step 2: Convert to fraction form
    384,421.92/530,514 = 214,663.20/x
  3. Step 3: Cross multiply
    384,421.92x = 530,514 × 214,663.20
  4. Step 4: Simplify right side
    384,421.92x = 113,881,832,884.80
  5. Step 5: Solve for x
    x = 113,881,832,884.80/384,421.92
  6. Step 6: Final answer
    x = 296,241.78

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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.