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Finding the Fourth Proportional to 296,160, 408,706.56 and 162,026.88

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Solution

The fourth proportional to 296,160, 408,706.56 and 162,026.88 is: 223,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,160 : 408,706.56 = 162,026.88 : x
  2. Step 2: Convert to fraction form
    296,160/408,706.56 = 162,026.88/x
  3. Step 3: Cross multiply
    296,160x = 408,706.56 × 162,026.88
  4. Step 4: Simplify right side
    296,160x = 66,221,448,752.33
  5. Step 5: Solve for x
    x = 66,221,448,752.33/296,160
  6. Step 6: Final answer
    x = 223,600.25

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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.