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Finding the Fourth Proportional to 381,813.40, 572,720.10 and 319,605.40

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Solution

The fourth proportional to 381,813.40, 572,720.10 and 319,605.40 is: 479,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,813.40 : 572,720.10 = 319,605.40 : x
  2. Step 2: Convert to fraction form
    381,813.40/572,720.10 = 319,605.40/x
  3. Step 3: Cross multiply
    381,813.40x = 572,720.10 × 319,605.40
  4. Step 4: Simplify right side
    381,813.40x = 183,044,436,648.54
  5. Step 5: Solve for x
    x = 183,044,436,648.54/381,813.40
  6. Step 6: Final answer
    x = 479,408.10

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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.