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Finding the Fourth Proportional to 500,408.34, 690,612.81 and 285,580.74

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Solution

The fourth proportional to 500,408.34, 690,612.81 and 285,580.74 is: 394,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,408.34 : 690,612.81 = 285,580.74 : x
  2. Step 2: Convert to fraction form
    500,408.34/690,612.81 = 285,580.74/x
  3. Step 3: Cross multiply
    500,408.34x = 690,612.81 × 285,580.74
  4. Step 4: Simplify right side
    500,408.34x = 197,225,717,333.28
  5. Step 5: Solve for x
    x = 197,225,717,333.28/500,408.34
  6. Step 6: Final answer
    x = 394,129.56

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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.