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Finding the Fourth Proportional to 284,408.12, 392,449.62 and 157,076.12

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Solution

The fourth proportional to 284,408.12, 392,449.62 and 157,076.12 is: 216,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,408.12 : 392,449.62 = 157,076.12 : x
  2. Step 2: Convert to fraction form
    284,408.12/392,449.62 = 157,076.12/x
  3. Step 3: Cross multiply
    284,408.12x = 392,449.62 × 157,076.12
  4. Step 4: Simplify right side
    284,408.12x = 61,644,463,605.07
  5. Step 5: Solve for x
    x = 61,644,463,605.07/284,408.12
  6. Step 6: Final answer
    x = 216,746.50

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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.