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Finding the Fourth Proportional to 654,314.60, 980,742.90 and 254,822.60

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Solution

The fourth proportional to 654,314.60, 980,742.90 and 254,822.60 is: 381,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,314.60 : 980,742.90 = 254,822.60 : x
  2. Step 2: Convert to fraction form
    654,314.60/980,742.90 = 254,822.60/x
  3. Step 3: Cross multiply
    654,314.60x = 980,742.90 × 254,822.60
  4. Step 4: Simplify right side
    654,314.60x = 249,915,455,709.54
  5. Step 5: Solve for x
    x = 249,915,455,709.54/654,314.60
  6. Step 6: Final answer
    x = 381,949.99

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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.