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Finding the Fourth Proportional to 296,378.64, 408,998.70 and 169,056.36

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Solution

The fourth proportional to 296,378.64, 408,998.70 and 169,056.36 is: 233,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,378.64 : 408,998.70 = 169,056.36 : x
  2. Step 2: Convert to fraction form
    296,378.64/408,998.70 = 169,056.36/x
  3. Step 3: Cross multiply
    296,378.64x = 408,998.70 × 169,056.36
  4. Step 4: Simplify right side
    296,378.64x = 69,143,831,466.73
  5. Step 5: Solve for x
    x = 69,143,831,466.73/296,378.64
  6. Step 6: Final answer
    x = 233,295.60

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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.