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Finding the Fourth Proportional to 565,094.57, 847,648.44 and 165,743.31

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Solution

The fourth proportional to 565,094.57, 847,648.44 and 165,743.31 is: 248,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,094.57 : 847,648.44 = 165,743.31 : x
  2. Step 2: Convert to fraction form
    565,094.57/847,648.44 = 165,743.31/x
  3. Step 3: Cross multiply
    565,094.57x = 847,648.44 × 165,743.31
  4. Step 4: Simplify right side
    565,094.57x = 140,492,057,333.22
  5. Step 5: Solve for x
    x = 140,492,057,333.22/565,094.57
  6. Step 6: Final answer
    x = 248,616.89

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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.