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Finding the Fourth Proportional to 296,497.42, 408,999.36 and 187,568.02

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Solution

The fourth proportional to 296,497.42, 408,999.36 and 187,568.02 is: 258,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,497.42 : 408,999.36 = 187,568.02 : x
  2. Step 2: Convert to fraction form
    296,497.42/408,999.36 = 187,568.02/x
  3. Step 3: Cross multiply
    296,497.42x = 408,999.36 × 187,568.02
  4. Step 4: Simplify right side
    296,497.42x = 76,715,200,136.47
  5. Step 5: Solve for x
    x = 76,715,200,136.47/296,497.42
  6. Step 6: Final answer
    x = 258,738.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.