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Finding the Fourth Proportional to 405,528.38, 559,623.32 and 224,236.32

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Solution

The fourth proportional to 405,528.38, 559,623.32 and 224,236.32 is: 309,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,528.38 : 559,623.32 = 224,236.32 : x
  2. Step 2: Convert to fraction form
    405,528.38/559,623.32 = 224,236.32/x
  3. Step 3: Cross multiply
    405,528.38x = 559,623.32 × 224,236.32
  4. Step 4: Simplify right side
    405,528.38x = 125,487,873,862.98
  5. Step 5: Solve for x
    x = 125,487,873,862.98/405,528.38
  6. Step 6: Final answer
    x = 309,442.89

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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.