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Finding the Fourth Proportional to 193,574.40, 290,361.60 and 162,470.40

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Solution

The fourth proportional to 193,574.40, 290,361.60 and 162,470.40 is: 243,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,574.40 : 290,361.60 = 162,470.40 : x
  2. Step 2: Convert to fraction form
    193,574.40/290,361.60 = 162,470.40/x
  3. Step 3: Cross multiply
    193,574.40x = 290,361.60 × 162,470.40
  4. Step 4: Simplify right side
    193,574.40x = 47,175,165,296.64
  5. Step 5: Solve for x
    x = 47,175,165,296.64/193,574.40
  6. Step 6: Final answer
    x = 243,705.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.