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Finding the Fourth Proportional to 293,622.60, 405,227.60 and 164,583

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Solution

The fourth proportional to 293,622.60, 405,227.60 and 164,583 is: 227,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,622.60 : 405,227.60 = 164,583 : x
  2. Step 2: Convert to fraction form
    293,622.60/405,227.60 = 164,583/x
  3. Step 3: Cross multiply
    293,622.60x = 405,227.60 × 164,583
  4. Step 4: Simplify right side
    293,622.60x = 66,693,574,090.80
  5. Step 5: Solve for x
    x = 66,693,574,090.80/293,622.60
  6. Step 6: Final answer
    x = 227,140.47

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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.