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Finding the Fourth Proportional to 358,534.28, 494,767.71 and 197,390.54

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Solution

The fourth proportional to 358,534.28, 494,767.71 and 197,390.54 is: 272,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,534.28 : 494,767.71 = 197,390.54 : x
  2. Step 2: Convert to fraction form
    358,534.28/494,767.71 = 197,390.54/x
  3. Step 3: Cross multiply
    358,534.28x = 494,767.71 × 197,390.54
  4. Step 4: Simplify right side
    358,534.28x = 97,662,462,977.62
  5. Step 5: Solve for x
    x = 97,662,462,977.62/358,534.28
  6. Step 6: Final answer
    x = 272,393.66

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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.