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Finding the Fourth Proportional to 310,265.14, 464,967.13 and 141,372.72

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Solution

The fourth proportional to 310,265.14, 464,967.13 and 141,372.72 is: 211,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,265.14 : 464,967.13 = 141,372.72 : x
  2. Step 2: Convert to fraction form
    310,265.14/464,967.13 = 141,372.72/x
  3. Step 3: Cross multiply
    310,265.14x = 464,967.13 × 141,372.72
  4. Step 4: Simplify right side
    310,265.14x = 65,733,667,878.69
  5. Step 5: Solve for x
    x = 65,733,667,878.69/310,265.14
  6. Step 6: Final answer
    x = 211,862.89

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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.