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Finding the Fourth Proportional to 296,496.89, 408,998.67 and 187,567.43

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Solution

The fourth proportional to 296,496.89, 408,998.67 and 187,567.43 is: 258,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,496.89 : 408,998.67 = 187,567.43 : x
  2. Step 2: Convert to fraction form
    296,496.89/408,998.67 = 187,567.43/x
  3. Step 3: Cross multiply
    296,496.89x = 408,998.67 × 187,567.43
  4. Step 4: Simplify right side
    296,496.89x = 76,714,830,012.63
  5. Step 5: Solve for x
    x = 76,714,830,012.63/296,496.89
  6. Step 6: Final answer
    x = 258,737.39

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1.5x scale

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.