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Finding the Fourth Proportional to 355,876.48, 533,261.76 and 224,272

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Solution

The fourth proportional to 355,876.48, 533,261.76 and 224,272 is: 336,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,876.48 : 533,261.76 = 224,272 : x
  2. Step 2: Convert to fraction form
    355,876.48/533,261.76 = 224,272/x
  3. Step 3: Cross multiply
    355,876.48x = 533,261.76 × 224,272
  4. Step 4: Simplify right side
    355,876.48x = 119,595,681,438.72
  5. Step 5: Solve for x
    x = 119,595,681,438.72/355,876.48
  6. Step 6: Final answer
    x = 336,059.53

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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.