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Finding the Fourth Proportional to 324,969.60, 487,742.40 and 191,683.20

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Solution

The fourth proportional to 324,969.60, 487,742.40 and 191,683.20 is: 287,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,969.60 : 487,742.40 = 191,683.20 : x
  2. Step 2: Convert to fraction form
    324,969.60/487,742.40 = 191,683.20/x
  3. Step 3: Cross multiply
    324,969.60x = 487,742.40 × 191,683.20
  4. Step 4: Simplify right side
    324,969.60x = 93,492,024,007.68
  5. Step 5: Solve for x
    x = 93,492,024,007.68/324,969.60
  6. Step 6: Final answer
    x = 287,694.68

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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.