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Finding the Fourth Proportional to 320,460.80, 480,545.40 and 142,876.40

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Solution

The fourth proportional to 320,460.80, 480,545.40 and 142,876.40 is: 214,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,460.80 : 480,545.40 = 142,876.40 : x
  2. Step 2: Convert to fraction form
    320,460.80/480,545.40 = 142,876.40/x
  3. Step 3: Cross multiply
    320,460.80x = 480,545.40 × 142,876.40
  4. Step 4: Simplify right side
    320,460.80x = 68,658,596,788.56
  5. Step 5: Solve for x
    x = 68,658,596,788.56/320,460.80
  6. Step 6: Final answer
    x = 214,249.60

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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.