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Finding the Fourth Proportional to 310,262.90, 464,963.76 and 141,370.47

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Solution

The fourth proportional to 310,262.90, 464,963.76 and 141,370.47 is: 211,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,262.90 : 464,963.76 = 141,370.47 : x
  2. Step 2: Convert to fraction form
    310,262.90/464,963.76 = 141,370.47/x
  3. Step 3: Cross multiply
    310,262.90x = 464,963.76 × 141,370.47
  4. Step 4: Simplify right side
    310,262.90x = 65,732,145,284.17
  5. Step 5: Solve for x
    x = 65,732,145,284.17/310,262.90
  6. Step 6: Final answer
    x = 211,859.51

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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.