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Finding the Fourth Proportional to 651,838.50, 978,191.60 and 267,902.24

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Solution

The fourth proportional to 651,838.50, 978,191.60 and 267,902.24 is: 402,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,838.50 : 978,191.60 = 267,902.24 : x
  2. Step 2: Convert to fraction form
    651,838.50/978,191.60 = 267,902.24/x
  3. Step 3: Cross multiply
    651,838.50x = 978,191.60 × 267,902.24
  4. Step 4: Simplify right side
    651,838.50x = 262,059,714,558.72
  5. Step 5: Solve for x
    x = 262,059,714,558.72/651,838.50
  6. Step 6: Final answer
    x = 402,031.66

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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.