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Finding the Fourth Proportional to 296,153.60, 408,688.64 and 162,016

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Solution

The fourth proportional to 296,153.60, 408,688.64 and 162,016 is: 223,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,153.60 : 408,688.64 = 162,016 : x
  2. Step 2: Convert to fraction form
    296,153.60/408,688.64 = 162,016/x
  3. Step 3: Cross multiply
    296,153.60x = 408,688.64 × 162,016
  4. Step 4: Simplify right side
    296,153.60x = 66,214,098,698.24
  5. Step 5: Solve for x
    x = 66,214,098,698.24/296,153.60
  6. Step 6: Final answer
    x = 223,580.26

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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.