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Finding the Fourth Proportional to 567,543.42, 851,846.58 and 287,257.50

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Solution

The fourth proportional to 567,543.42, 851,846.58 and 287,257.50 is: 431,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,543.42 : 851,846.58 = 287,257.50 : x
  2. Step 2: Convert to fraction form
    567,543.42/851,846.58 = 287,257.50/x
  3. Step 3: Cross multiply
    567,543.42x = 851,846.58 × 287,257.50
  4. Step 4: Simplify right side
    567,543.42x = 244,699,318,954.35
  5. Step 5: Solve for x
    x = 244,699,318,954.35/567,543.42
  6. Step 6: Final answer
    x = 431,155.24

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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.