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Finding the Fourth Proportional to 356,385.34, 534,502.76 and 212,355

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Solution

The fourth proportional to 356,385.34, 534,502.76 and 212,355 is: 318,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,385.34 : 534,502.76 = 212,355 : x
  2. Step 2: Convert to fraction form
    356,385.34/534,502.76 = 212,355/x
  3. Step 3: Cross multiply
    356,385.34x = 534,502.76 × 212,355
  4. Step 4: Simplify right side
    356,385.34x = 113,504,333,599.80
  5. Step 5: Solve for x
    x = 113,504,333,599.80/356,385.34
  6. Step 6: Final answer
    x = 318,487.66

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