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Finding the Fourth Proportional to 283,594.98, 424,991.51 and 157,290.86

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Solution

The fourth proportional to 283,594.98, 424,991.51 and 157,290.86 is: 235,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,594.98 : 424,991.51 = 157,290.86 : x
  2. Step 2: Convert to fraction form
    283,594.98/424,991.51 = 157,290.86/x
  3. Step 3: Cross multiply
    283,594.98x = 424,991.51 × 157,290.86
  4. Step 4: Simplify right side
    283,594.98x = 66,847,280,100.60
  5. Step 5: Solve for x
    x = 66,847,280,100.60/283,594.98
  6. Step 6: Final answer
    x = 235,713.90

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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.