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Finding the Fourth Proportional to 467,999.60, 701,999.40 and 289,929.20

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Solution

The fourth proportional to 467,999.60, 701,999.40 and 289,929.20 is: 434,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,999.60 : 701,999.40 = 289,929.20 : x
  2. Step 2: Convert to fraction form
    467,999.60/701,999.40 = 289,929.20/x
  3. Step 3: Cross multiply
    467,999.60x = 701,999.40 × 289,929.20
  4. Step 4: Simplify right side
    467,999.60x = 203,530,124,442.48
  5. Step 5: Solve for x
    x = 203,530,124,442.48/467,999.60
  6. Step 6: Final answer
    x = 434,893.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.