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Finding the Fourth Proportional to 432,100.68, 596,405.64 and 262,476.96

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Solution

The fourth proportional to 432,100.68, 596,405.64 and 262,476.96 is: 362,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,100.68 : 596,405.64 = 262,476.96 : x
  2. Step 2: Convert to fraction form
    432,100.68/596,405.64 = 262,476.96/x
  3. Step 3: Cross multiply
    432,100.68x = 596,405.64 × 262,476.96
  4. Step 4: Simplify right side
    432,100.68x = 156,542,739,314.05
  5. Step 5: Solve for x
    x = 156,542,739,314.05/432,100.68
  6. Step 6: Final answer
    x = 362,283.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.