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Finding the Fourth Proportional to 405,500.52, 559,541.88 and 224,187.96

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Solution

The fourth proportional to 405,500.52, 559,541.88 and 224,187.96 is: 309,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,500.52 : 559,541.88 = 224,187.96 : x
  2. Step 2: Convert to fraction form
    405,500.52/559,541.88 = 224,187.96/x
  3. Step 3: Cross multiply
    405,500.52x = 559,541.88 × 224,187.96
  4. Step 4: Simplify right side
    405,500.52x = 125,442,552,611.77
  5. Step 5: Solve for x
    x = 125,442,552,611.77/405,500.52
  6. Step 6: Final answer
    x = 309,352.38

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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.