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Finding the Fourth Proportional to 385,215.30, 578,514.15 and 280,152.90

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Solution

The fourth proportional to 385,215.30, 578,514.15 and 280,152.90 is: 420,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,215.30 : 578,514.15 = 280,152.90 : x
  2. Step 2: Convert to fraction form
    385,215.30/578,514.15 = 280,152.90/x
  3. Step 3: Cross multiply
    385,215.30x = 578,514.15 × 280,152.90
  4. Step 4: Simplify right side
    385,215.30x = 162,072,416,813.54
  5. Step 5: Solve for x
    x = 162,072,416,813.54/385,215.30
  6. Step 6: Final answer
    x = 420,732.03

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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.