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Finding the Fourth Proportional to 197,588.48, 296,432.64 and 57,344

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Solution

The fourth proportional to 197,588.48, 296,432.64 and 57,344 is: 86,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,588.48 : 296,432.64 = 57,344 : x
  2. Step 2: Convert to fraction form
    197,588.48/296,432.64 = 57,344/x
  3. Step 3: Cross multiply
    197,588.48x = 296,432.64 × 57,344
  4. Step 4: Simplify right side
    197,588.48x = 16,998,633,308.16
  5. Step 5: Solve for x
    x = 16,998,633,308.16/197,588.48
  6. Step 6: Final answer
    x = 86,030.49

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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.