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Finding the Fourth Proportional to 565,138.54, 847,614.39 and 186,064.48

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Solution

The fourth proportional to 565,138.54, 847,614.39 and 186,064.48 is: 279,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,138.54 : 847,614.39 = 186,064.48 : x
  2. Step 2: Convert to fraction form
    565,138.54/847,614.39 = 186,064.48/x
  3. Step 3: Cross multiply
    565,138.54x = 847,614.39 × 186,064.48
  4. Step 4: Simplify right side
    565,138.54x = 157,710,930,715.87
  5. Step 5: Solve for x
    x = 157,710,930,715.87/565,138.54
  6. Step 6: Final answer
    x = 279,065.96

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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.