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Finding the Fourth Proportional to 296,175.18, 408,731.13 and 162,039.18

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Solution

The fourth proportional to 296,175.18, 408,731.13 and 162,039.18 is: 223,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,175.18 : 408,731.13 = 162,039.18 : x
  2. Step 2: Convert to fraction form
    296,175.18/408,731.13 = 162,039.18/x
  3. Step 3: Cross multiply
    296,175.18x = 408,731.13 × 162,039.18
  4. Step 4: Simplify right side
    296,175.18x = 66,230,457,145.67
  5. Step 5: Solve for x
    x = 66,230,457,145.67/296,175.18
  6. Step 6: Final answer
    x = 223,619.20

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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.