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Finding the Fourth Proportional to 296,133.53, 408,664.34 and 167,099.40

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Solution

The fourth proportional to 296,133.53, 408,664.34 and 167,099.40 is: 230,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,133.53 : 408,664.34 = 167,099.40 : x
  2. Step 2: Convert to fraction form
    296,133.53/408,664.34 = 167,099.40/x
  3. Step 3: Cross multiply
    296,133.53x = 408,664.34 × 167,099.40
  4. Step 4: Simplify right side
    296,133.53x = 68,287,563,136.58
  5. Step 5: Solve for x
    x = 68,287,563,136.58/296,133.53
  6. Step 6: Final answer
    x = 230,597.20

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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.