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Finding the Fourth Proportional to 523,889.92, 785,176.96 and 224,018.24

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Solution

The fourth proportional to 523,889.92, 785,176.96 and 224,018.24 is: 335,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,889.92 : 785,176.96 = 224,018.24 : x
  2. Step 2: Convert to fraction form
    523,889.92/785,176.96 = 224,018.24/x
  3. Step 3: Cross multiply
    523,889.92x = 785,176.96 × 224,018.24
  4. Step 4: Simplify right side
    523,889.92x = 175,893,960,667.75
  5. Step 5: Solve for x
    x = 175,893,960,667.75/523,889.92
  6. Step 6: Final answer
    x = 335,746.03

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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.