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Finding the Fourth Proportional to 403,800.50, 557,256.22 and 224,964.02

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Solution

The fourth proportional to 403,800.50, 557,256.22 and 224,964.02 is: 310,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,800.50 : 557,256.22 = 224,964.02 : x
  2. Step 2: Convert to fraction form
    403,800.50/557,256.22 = 224,964.02/x
  3. Step 3: Cross multiply
    403,800.50x = 557,256.22 × 224,964.02
  4. Step 4: Simplify right side
    403,800.50x = 125,362,599,421.20
  5. Step 5: Solve for x
    x = 125,362,599,421.20/403,800.50
  6. Step 6: Final answer
    x = 310,456.77

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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.