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Finding the Fourth Proportional to 567,221.24, 850,834.74 and 146,468.12

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Solution

The fourth proportional to 567,221.24, 850,834.74 and 146,468.12 is: 219,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,221.24 : 850,834.74 = 146,468.12 : x
  2. Step 2: Convert to fraction form
    567,221.24/850,834.74 = 146,468.12/x
  3. Step 3: Cross multiply
    567,221.24x = 850,834.74 × 146,468.12
  4. Step 4: Simplify right side
    567,221.24x = 124,620,164,798.49
  5. Step 5: Solve for x
    x = 124,620,164,798.49/567,221.24
  6. Step 6: Final answer
    x = 219,702.92

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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.