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Finding the Fourth Proportional to 296,102.40, 442,857.60 and 264,739.20

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Solution

The fourth proportional to 296,102.40, 442,857.60 and 264,739.20 is: 395,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,102.40 : 442,857.60 = 264,739.20 : x
  2. Step 2: Convert to fraction form
    296,102.40/442,857.60 = 264,739.20/x
  3. Step 3: Cross multiply
    296,102.40x = 442,857.60 × 264,739.20
  4. Step 4: Simplify right side
    296,102.40x = 117,241,766,737.92
  5. Step 5: Solve for x
    x = 117,241,766,737.92/296,102.40
  6. Step 6: Final answer
    x = 395,950.07

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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.