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Finding the Fourth Proportional to 347,821.38, 480,005.37 and 194,866.02

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Solution

The fourth proportional to 347,821.38, 480,005.37 and 194,866.02 is: 268,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,821.38 : 480,005.37 = 194,866.02 : x
  2. Step 2: Convert to fraction form
    347,821.38/480,005.37 = 194,866.02/x
  3. Step 3: Cross multiply
    347,821.38x = 480,005.37 × 194,866.02
  4. Step 4: Simplify right side
    347,821.38x = 93,536,736,030.53
  5. Step 5: Solve for x
    x = 93,536,736,030.53/347,821.38
  6. Step 6: Final answer
    x = 268,921.76

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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.