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Finding the Fourth Proportional to 357,850.71, 493,835 and 204,891.25

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Solution

The fourth proportional to 357,850.71, 493,835 and 204,891.25 is: 282,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,850.71 : 493,835 = 204,891.25 : x
  2. Step 2: Convert to fraction form
    357,850.71/493,835 = 204,891.25/x
  3. Step 3: Cross multiply
    357,850.71x = 493,835 × 204,891.25
  4. Step 4: Simplify right side
    357,850.71x = 101,182,467,974.58
  5. Step 5: Solve for x
    x = 101,182,467,974.58/357,850.71
  6. Step 6: Final answer
    x = 282,750.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.