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Finding the Fourth Proportional to 283,595.98, 424,993.01 and 157,291.86

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Solution

The fourth proportional to 283,595.98, 424,993.01 and 157,291.86 is: 235,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,595.98 : 424,993.01 = 157,291.86 : x
  2. Step 2: Convert to fraction form
    283,595.98/424,993.01 = 157,291.86/x
  3. Step 3: Cross multiply
    283,595.98x = 424,993.01 × 157,291.86
  4. Step 4: Simplify right side
    283,595.98x = 66,847,941,029.90
  5. Step 5: Solve for x
    x = 66,847,941,029.90/283,595.98
  6. Step 6: Final answer
    x = 235,715.40

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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.