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Finding the Fourth Proportional to 523,686.66, 785,874.44 and 287,195.41

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Solution

The fourth proportional to 523,686.66, 785,874.44 and 287,195.41 is: 430,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,686.66 : 785,874.44 = 287,195.41 : x
  2. Step 2: Convert to fraction form
    523,686.66/785,874.44 = 287,195.41/x
  3. Step 3: Cross multiply
    523,686.66x = 785,874.44 × 287,195.41
  4. Step 4: Simplify right side
    523,686.66x = 225,699,532,004.32
  5. Step 5: Solve for x
    x = 225,699,532,004.32/523,686.66
  6. Step 6: Final answer
    x = 430,982.02

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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.