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Finding the Fourth Proportional to 313,197.32, 432,213.48 and 169,957.40

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Solution

The fourth proportional to 313,197.32, 432,213.48 and 169,957.40 is: 234,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,197.32 : 432,213.48 = 169,957.40 : x
  2. Step 2: Convert to fraction form
    313,197.32/432,213.48 = 169,957.40/x
  3. Step 3: Cross multiply
    313,197.32x = 432,213.48 × 169,957.40
  4. Step 4: Simplify right side
    313,197.32x = 73,457,877,144.68
  5. Step 5: Solve for x
    x = 73,457,877,144.68/313,197.32
  6. Step 6: Final answer
    x = 234,541.84

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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.