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Finding the Fourth Proportional to 403,725.50, 557,141.20 and 224,877.50

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Solution

The fourth proportional to 403,725.50, 557,141.20 and 224,877.50 is: 310,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,725.50 : 557,141.20 = 224,877.50 : x
  2. Step 2: Convert to fraction form
    403,725.50/557,141.20 = 224,877.50/x
  3. Step 3: Cross multiply
    403,725.50x = 557,141.20 × 224,877.50
  4. Step 4: Simplify right side
    403,725.50x = 125,288,520,203.00
  5. Step 5: Solve for x
    x = 125,288,520,203.00/403,725.50
  6. Step 6: Final answer
    x = 310,330.96

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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.