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Finding the Fourth Proportional to 565,706.42, 847,999.11 and 265,649.87

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Solution

The fourth proportional to 565,706.42, 847,999.11 and 265,649.87 is: 398,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,706.42 : 847,999.11 = 265,649.87 : x
  2. Step 2: Convert to fraction form
    565,706.42/847,999.11 = 265,649.87/x
  3. Step 3: Cross multiply
    565,706.42x = 847,999.11 × 265,649.87
  4. Step 4: Simplify right side
    565,706.42x = 225,270,853,331.62
  5. Step 5: Solve for x
    x = 225,270,853,331.62/565,706.42
  6. Step 6: Final answer
    x = 398,211.59

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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.