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Finding the Fourth Proportional to 287,683.64, 431,671.21 and 191,686.47

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Solution

The fourth proportional to 287,683.64, 431,671.21 and 191,686.47 is: 287,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,683.64 : 431,671.21 = 191,686.47 : x
  2. Step 2: Convert to fraction form
    287,683.64/431,671.21 = 191,686.47/x
  3. Step 3: Cross multiply
    287,683.64x = 431,671.21 × 191,686.47
  4. Step 4: Simplify right side
    287,683.64x = 82,745,530,445.53
  5. Step 5: Solve for x
    x = 82,745,530,445.53/287,683.64
  6. Step 6: Final answer
    x = 287,626.82

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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.