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Finding the Fourth Proportional to 358,533.29, 494,757.16 and 197,356.86

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Solution

The fourth proportional to 358,533.29, 494,757.16 and 197,356.86 is: 272,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,533.29 : 494,757.16 = 197,356.86 : x
  2. Step 2: Convert to fraction form
    358,533.29/494,757.16 = 197,356.86/x
  3. Step 3: Cross multiply
    358,533.29x = 494,757.16 × 197,356.86
  4. Step 4: Simplify right side
    358,533.29x = 97,643,718,139.06
  5. Step 5: Solve for x
    x = 97,643,718,139.06/358,533.29
  6. Step 6: Final answer
    x = 272,342.12

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Why These Related Problems?

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