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Finding the Fourth Proportional to 411,200.70, 616,801.05 and 395,454.30

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Solution

The fourth proportional to 411,200.70, 616,801.05 and 395,454.30 is: 593,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,200.70 : 616,801.05 = 395,454.30 : x
  2. Step 2: Convert to fraction form
    411,200.70/616,801.05 = 395,454.30/x
  3. Step 3: Cross multiply
    411,200.70x = 616,801.05 × 395,454.30
  4. Step 4: Simplify right side
    411,200.70x = 243,916,627,467.02
  5. Step 5: Solve for x
    x = 243,916,627,467.02/411,200.70
  6. Step 6: Final answer
    x = 593,181.45

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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.