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Finding the Fourth Proportional to 352,833.76, 529,247.40 and 142,468.66

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Solution

The fourth proportional to 352,833.76, 529,247.40 and 142,468.66 is: 213,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,833.76 : 529,247.40 = 142,468.66 : x
  2. Step 2: Convert to fraction form
    352,833.76/529,247.40 = 142,468.66/x
  3. Step 3: Cross multiply
    352,833.76x = 529,247.40 × 142,468.66
  4. Step 4: Simplify right side
    352,833.76x = 75,401,167,886.48
  5. Step 5: Solve for x
    x = 75,401,167,886.48/352,833.76
  6. Step 6: Final answer
    x = 213,701.68

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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.