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Finding the Fourth Proportional to 456,160.28, 684,521.81 and 231,681.80

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Solution

The fourth proportional to 456,160.28, 684,521.81 and 231,681.80 is: 347,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,160.28 : 684,521.81 = 231,681.80 : x
  2. Step 2: Convert to fraction form
    456,160.28/684,521.81 = 231,681.80/x
  3. Step 3: Cross multiply
    456,160.28x = 684,521.81 × 231,681.80
  4. Step 4: Simplify right side
    456,160.28x = 158,591,246,501.76
  5. Step 5: Solve for x
    x = 158,591,246,501.76/456,160.28
  6. Step 6: Final answer
    x = 347,665.62

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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.