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Finding the Fourth Proportional to 567,404.48, 851,135.88 and 146,684

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Solution

The fourth proportional to 567,404.48, 851,135.88 and 146,684 is: 220,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,404.48 : 851,135.88 = 146,684 : x
  2. Step 2: Convert to fraction form
    567,404.48/851,135.88 = 146,684/x
  3. Step 3: Cross multiply
    567,404.48x = 851,135.88 × 146,684
  4. Step 4: Simplify right side
    567,404.48x = 124,848,015,421.92
  5. Step 5: Solve for x
    x = 124,848,015,421.92/567,404.48
  6. Step 6: Final answer
    x = 220,033.54

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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.