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Finding the Fourth Proportional to 231,738.30, 347,866.65 and 216,510.30

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Solution

The fourth proportional to 231,738.30, 347,866.65 and 216,510.30 is: 325,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,738.30 : 347,866.65 = 216,510.30 : x
  2. Step 2: Convert to fraction form
    231,738.30/347,866.65 = 216,510.30/x
  3. Step 3: Cross multiply
    231,738.30x = 347,866.65 × 216,510.30
  4. Step 4: Simplify right side
    231,738.30x = 75,316,712,751.50
  5. Step 5: Solve for x
    x = 75,316,712,751.50/231,738.30
  6. Step 6: Final answer
    x = 325,007.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.