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Finding the Fourth Proportional to 358,354.48, 494,529.24 and 197,221

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Solution

The fourth proportional to 358,354.48, 494,529.24 and 197,221 is: 272,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,354.48 : 494,529.24 = 197,221 : x
  2. Step 2: Convert to fraction form
    358,354.48/494,529.24 = 197,221/x
  3. Step 3: Cross multiply
    358,354.48x = 494,529.24 × 197,221
  4. Step 4: Simplify right side
    358,354.48x = 97,531,551,242.04
  5. Step 5: Solve for x
    x = 97,531,551,242.04/358,354.48
  6. Step 6: Final answer
    x = 272,165.01

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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.