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Finding the Fourth Proportional to 292,568.24, 438,589.62 and 105,536

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Solution

The fourth proportional to 292,568.24, 438,589.62 and 105,536 is: 158,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,568.24 : 438,589.62 = 105,536 : x
  2. Step 2: Convert to fraction form
    292,568.24/438,589.62 = 105,536/x
  3. Step 3: Cross multiply
    292,568.24x = 438,589.62 × 105,536
  4. Step 4: Simplify right side
    292,568.24x = 46,286,994,136.32
  5. Step 5: Solve for x
    x = 46,286,994,136.32/292,568.24
  6. Step 6: Final answer
    x = 158,209.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.