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Finding the Fourth Proportional to 310,263.14, 464,964.13 and 141,370.72

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Solution

The fourth proportional to 310,263.14, 464,964.13 and 141,370.72 is: 211,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,263.14 : 464,964.13 = 141,370.72 : x
  2. Step 2: Convert to fraction form
    310,263.14/464,964.13 = 141,370.72/x
  3. Step 3: Cross multiply
    310,263.14x = 464,964.13 × 141,370.72
  4. Step 4: Simplify right side
    310,263.14x = 65,732,313,832.27
  5. Step 5: Solve for x
    x = 65,732,313,832.27/310,263.14
  6. Step 6: Final answer
    x = 211,859.89

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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.