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Finding the Fourth Proportional to 296,032.32, 408,516.48 and 161,896.32

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Solution

The fourth proportional to 296,032.32, 408,516.48 and 161,896.32 is: 223,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,032.32 : 408,516.48 = 161,896.32 : x
  2. Step 2: Convert to fraction form
    296,032.32/408,516.48 = 161,896.32/x
  3. Step 3: Cross multiply
    296,032.32x = 408,516.48 × 161,896.32
  4. Step 4: Simplify right side
    296,032.32x = 66,137,314,771.35
  5. Step 5: Solve for x
    x = 66,137,314,771.35/296,032.32
  6. Step 6: Final answer
    x = 223,412.48

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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.