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Finding the Fourth Proportional to 523,893.92, 785,182.96 and 224,022.24

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Solution

The fourth proportional to 523,893.92, 785,182.96 and 224,022.24 is: 335,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,893.92 : 785,182.96 = 224,022.24 : x
  2. Step 2: Convert to fraction form
    523,893.92/785,182.96 = 224,022.24/x
  3. Step 3: Cross multiply
    523,893.92x = 785,182.96 × 224,022.24
  4. Step 4: Simplify right side
    523,893.92x = 175,898,445,509.03
  5. Step 5: Solve for x
    x = 175,898,445,509.03/523,893.92
  6. Step 6: Final answer
    x = 335,752.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.