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Finding the Fourth Proportional to 474,838.54, 712,294.70 and 137,884.75

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Solution

The fourth proportional to 474,838.54, 712,294.70 and 137,884.75 is: 206,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,838.54 : 712,294.70 = 137,884.75 : x
  2. Step 2: Convert to fraction form
    474,838.54/712,294.70 = 137,884.75/x
  3. Step 3: Cross multiply
    474,838.54x = 712,294.70 × 137,884.75
  4. Step 4: Simplify right side
    474,838.54x = 98,214,574,165.66
  5. Step 5: Solve for x
    x = 98,214,574,165.66/474,838.54
  6. Step 6: Final answer
    x = 206,837.83

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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.