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Finding the Fourth Proportional to 496,477.14, 744,832.62 and 141,496.26

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Solution

The fourth proportional to 496,477.14, 744,832.62 and 141,496.26 is: 212,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,477.14 : 744,832.62 = 141,496.26 : x
  2. Step 2: Convert to fraction form
    496,477.14/744,832.62 = 141,496.26/x
  3. Step 3: Cross multiply
    496,477.14x = 744,832.62 × 141,496.26
  4. Step 4: Simplify right side
    496,477.14x = 105,391,030,056.00
  5. Step 5: Solve for x
    x = 105,391,030,056.00/496,477.14
  6. Step 6: Final answer
    x = 212,277.71

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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.