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Finding the Fourth Proportional to 297,042.32, 409,940.12 and 169,715.16

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Solution

The fourth proportional to 297,042.32, 409,940.12 and 169,715.16 is: 234,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,042.32 : 409,940.12 = 169,715.16 : x
  2. Step 2: Convert to fraction form
    297,042.32/409,940.12 = 169,715.16/x
  3. Step 3: Cross multiply
    297,042.32x = 409,940.12 × 169,715.16
  4. Step 4: Simplify right side
    297,042.32x = 69,573,053,056.22
  5. Step 5: Solve for x
    x = 69,573,053,056.22/297,042.32
  6. Step 6: Final answer
    x = 234,219.33

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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.