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Finding the Fourth Proportional to 568,498.61, 852,462.65 and 189,285.77

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Solution

The fourth proportional to 568,498.61, 852,462.65 and 189,285.77 is: 283,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,498.61 : 852,462.65 = 189,285.77 : x
  2. Step 2: Convert to fraction form
    568,498.61/852,462.65 = 189,285.77/x
  3. Step 3: Cross multiply
    568,498.61x = 852,462.65 × 189,285.77
  4. Step 4: Simplify right side
    568,498.61x = 161,359,043,892.75
  5. Step 5: Solve for x
    x = 161,359,043,892.75/568,498.61
  6. Step 6: Final answer
    x = 283,833.67

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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.