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Finding the Fourth Proportional to 565,184.54, 847,894 and 165,838.34

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Solution

The fourth proportional to 565,184.54, 847,894 and 165,838.34 is: 248,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,184.54 : 847,894 = 165,838.34 : x
  2. Step 2: Convert to fraction form
    565,184.54/847,894 = 165,838.34/x
  3. Step 3: Cross multiply
    565,184.54x = 847,894 × 165,838.34
  4. Step 4: Simplify right side
    565,184.54x = 140,613,333,455.96
  5. Step 5: Solve for x
    x = 140,613,333,455.96/565,184.54
  6. Step 6: Final answer
    x = 248,791.90

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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.