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Finding the Fourth Proportional to 253,456.62, 379,829.61 and 197,038.50

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Solution

The fourth proportional to 253,456.62, 379,829.61 and 197,038.50 is: 295,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,456.62 : 379,829.61 = 197,038.50 : x
  2. Step 2: Convert to fraction form
    253,456.62/379,829.61 = 197,038.50/x
  3. Step 3: Cross multiply
    253,456.62x = 379,829.61 × 197,038.50
  4. Step 4: Simplify right side
    253,456.62x = 74,841,056,609.99
  5. Step 5: Solve for x
    x = 74,841,056,609.99/253,456.62
  6. Step 6: Final answer
    x = 295,281.52

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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.