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Finding the Fourth Proportional to 292,739.52, 439,070.40 and 82,395.48

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Solution

The fourth proportional to 292,739.52, 439,070.40 and 82,395.48 is: 123,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,739.52 : 439,070.40 = 82,395.48 : x
  2. Step 2: Convert to fraction form
    292,739.52/439,070.40 = 82,395.48/x
  3. Step 3: Cross multiply
    292,739.52x = 439,070.40 × 82,395.48
  4. Step 4: Simplify right side
    292,739.52x = 36,177,416,361.79
  5. Step 5: Solve for x
    x = 36,177,416,361.79/292,739.52
  6. Step 6: Final answer
    x = 123,582.28

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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.