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Finding the Fourth Proportional to 296,646.50, 409,411.87 and 167,611.68

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Solution

The fourth proportional to 296,646.50, 409,411.87 and 167,611.68 is: 231,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,646.50 : 409,411.87 = 167,611.68 : x
  2. Step 2: Convert to fraction form
    296,646.50/409,411.87 = 167,611.68/x
  3. Step 3: Cross multiply
    296,646.50x = 409,411.87 × 167,611.68
  4. Step 4: Simplify right side
    296,646.50x = 68,622,210,923.61
  5. Step 5: Solve for x
    x = 68,622,210,923.61/296,646.50
  6. Step 6: Final answer
    x = 231,326.55

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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.