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Finding the Fourth Proportional to 287,638.62, 431,652.33 and 100,651.74

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Solution

The fourth proportional to 287,638.62, 431,652.33 and 100,651.74 is: 151,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,638.62 : 431,652.33 = 100,651.74 : x
  2. Step 2: Convert to fraction form
    287,638.62/431,652.33 = 100,651.74/x
  3. Step 3: Cross multiply
    287,638.62x = 431,652.33 × 100,651.74
  4. Step 4: Simplify right side
    287,638.62x = 43,446,558,089.55
  5. Step 5: Solve for x
    x = 43,446,558,089.55/287,638.62
  6. Step 6: Final answer
    x = 151,045.64

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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.