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Finding the Fourth Proportional to 560,269, 840,410.82 and 186,292

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Solution

The fourth proportional to 560,269, 840,410.82 and 186,292 is: 279,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,269 : 840,410.82 = 186,292 : x
  2. Step 2: Convert to fraction form
    560,269/840,410.82 = 186,292/x
  3. Step 3: Cross multiply
    560,269x = 840,410.82 × 186,292
  4. Step 4: Simplify right side
    560,269x = 156,561,812,479.44
  5. Step 5: Solve for x
    x = 156,561,812,479.44/560,269
  6. Step 6: Final answer
    x = 279,440.43

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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.