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Finding the Fourth Proportional to 474,837.17, 712,292.64 and 137,883.38

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Solution

The fourth proportional to 474,837.17, 712,292.64 and 137,883.38 is: 206,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,837.17 : 712,292.64 = 137,883.38 : x
  2. Step 2: Convert to fraction form
    474,837.17/712,292.64 = 137,883.38/x
  3. Step 3: Cross multiply
    474,837.17x = 712,292.64 × 137,883.38
  4. Step 4: Simplify right side
    474,837.17x = 98,213,316,752.32
  5. Step 5: Solve for x
    x = 98,213,316,752.32/474,837.17
  6. Step 6: Final answer
    x = 206,835.78

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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.