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Finding the Fourth Proportional to 496,720.74, 745,206.86 and 141,736.02

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Solution

The fourth proportional to 496,720.74, 745,206.86 and 141,736.02 is: 212,639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,720.74 : 745,206.86 = 141,736.02 : x
  2. Step 2: Convert to fraction form
    496,720.74/745,206.86 = 141,736.02/x
  3. Step 3: Cross multiply
    496,720.74x = 745,206.86 × 141,736.02
  4. Step 4: Simplify right side
    496,720.74x = 105,622,654,413.10
  5. Step 5: Solve for x
    x = 105,622,654,413.10/496,720.74
  6. Step 6: Final answer
    x = 212,639.91

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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.