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Finding the Fourth Proportional to 654,403.80, 981,411.30 and 254,814.60

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Solution

The fourth proportional to 654,403.80, 981,411.30 and 254,814.60 is: 382,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,403.80 : 981,411.30 = 254,814.60 : x
  2. Step 2: Convert to fraction form
    654,403.80/981,411.30 = 254,814.60/x
  3. Step 3: Cross multiply
    654,403.80x = 981,411.30 × 254,814.60
  4. Step 4: Simplify right side
    654,403.80x = 250,077,927,844.98
  5. Step 5: Solve for x
    x = 250,077,927,844.98/654,403.80
  6. Step 6: Final answer
    x = 382,146.20

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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.