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Finding the Fourth Proportional to 293,162.40, 439,743.60 and 71,546.40

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Solution

The fourth proportional to 293,162.40, 439,743.60 and 71,546.40 is: 107,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,162.40 : 439,743.60 = 71,546.40 : x
  2. Step 2: Convert to fraction form
    293,162.40/439,743.60 = 71,546.40/x
  3. Step 3: Cross multiply
    293,162.40x = 439,743.60 × 71,546.40
  4. Step 4: Simplify right side
    293,162.40x = 31,462,071,503.04
  5. Step 5: Solve for x
    x = 31,462,071,503.04/293,162.40
  6. Step 6: Final answer
    x = 107,319.60

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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.