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Finding the Fourth Proportional to 270,614.47, 405,945.56 and 70,934.17

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Solution

The fourth proportional to 270,614.47, 405,945.56 and 70,934.17 is: 106,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,614.47 : 405,945.56 = 70,934.17 : x
  2. Step 2: Convert to fraction form
    270,614.47/405,945.56 = 70,934.17/x
  3. Step 3: Cross multiply
    270,614.47x = 405,945.56 × 70,934.17
  4. Step 4: Simplify right side
    270,614.47x = 28,795,411,363.79
  5. Step 5: Solve for x
    x = 28,795,411,363.79/270,614.47
  6. Step 6: Final answer
    x = 106,407.51

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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.