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Finding the Fourth Proportional to 293,839.40, 441,293.70 and 257,097.80

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Solution

The fourth proportional to 293,839.40, 441,293.70 and 257,097.80 is: 386,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,839.40 : 441,293.70 = 257,097.80 : x
  2. Step 2: Convert to fraction form
    293,839.40/441,293.70 = 257,097.80/x
  3. Step 3: Cross multiply
    293,839.40x = 441,293.70 × 257,097.80
  4. Step 4: Simplify right side
    293,839.40x = 113,455,639,423.86
  5. Step 5: Solve for x
    x = 113,455,639,423.86/293,839.40
  6. Step 6: Final answer
    x = 386,114.45

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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.