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Finding the Fourth Proportional to 400,049.70, 551,808.44 and 256,582.50

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Solution

The fourth proportional to 400,049.70, 551,808.44 and 256,582.50 is: 353,917.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,049.70 : 551,808.44 = 256,582.50 : x
  2. Step 2: Convert to fraction form
    400,049.70/551,808.44 = 256,582.50/x
  3. Step 3: Cross multiply
    400,049.70x = 551,808.44 × 256,582.50
  4. Step 4: Simplify right side
    400,049.70x = 141,584,389,056.30
  5. Step 5: Solve for x
    x = 141,584,389,056.30/400,049.70
  6. Step 6: Final answer
    x = 353,917.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.