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Finding the Fourth Proportional to 310,262.14, 464,962.63 and 141,369.72

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Solution

The fourth proportional to 310,262.14, 464,962.63 and 141,369.72 is: 211,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,262.14 : 464,962.63 = 141,369.72 : x
  2. Step 2: Convert to fraction form
    310,262.14/464,962.63 = 141,369.72/x
  3. Step 3: Cross multiply
    310,262.14x = 464,962.63 × 141,369.72
  4. Step 4: Simplify right side
    310,262.14x = 65,731,636,813.56
  5. Step 5: Solve for x
    x = 65,731,636,813.56/310,262.14
  6. Step 6: Final answer
    x = 211,858.39

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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.