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Finding the Fourth Proportional to 456,683.67, 684,951.03 and 153,212.13

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Solution

The fourth proportional to 456,683.67, 684,951.03 and 153,212.13 is: 229,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,683.67 : 684,951.03 = 153,212.13 : x
  2. Step 2: Convert to fraction form
    456,683.67/684,951.03 = 153,212.13/x
  3. Step 3: Cross multiply
    456,683.67x = 684,951.03 × 153,212.13
  4. Step 4: Simplify right side
    456,683.67x = 104,942,806,251.99
  5. Step 5: Solve for x
    x = 104,942,806,251.99/456,683.67
  6. Step 6: Final answer
    x = 229,793.21

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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.