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Finding the Fourth Proportional to 496,718.74, 745,203.86 and 141,734.02

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Solution

The fourth proportional to 496,718.74, 745,203.86 and 141,734.02 is: 212,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,718.74 : 745,203.86 = 141,734.02 : x
  2. Step 2: Convert to fraction form
    496,718.74/745,203.86 = 141,734.02/x
  3. Step 3: Cross multiply
    496,718.74x = 745,203.86 × 141,734.02
  4. Step 4: Simplify right side
    496,718.74x = 105,620,738,797.32
  5. Step 5: Solve for x
    x = 105,620,738,797.32/496,718.74
  6. Step 6: Final answer
    x = 212,636.91

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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.