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Finding the Fourth Proportional to 328,232.43, 492,431.64 and 91,575

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Solution

The fourth proportional to 328,232.43, 492,431.64 and 91,575 is: 137,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,232.43 : 492,431.64 = 91,575 : x
  2. Step 2: Convert to fraction form
    328,232.43/492,431.64 = 91,575/x
  3. Step 3: Cross multiply
    328,232.43x = 492,431.64 × 91,575
  4. Step 4: Simplify right side
    328,232.43x = 45,094,427,433
  5. Step 5: Solve for x
    x = 45,094,427,433/328,232.43
  6. Step 6: Final answer
    x = 137,385.66

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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.