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Finding the Fourth Proportional to 458,912.68, 688,545.54 and 222,237.16

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Solution

The fourth proportional to 458,912.68, 688,545.54 and 222,237.16 is: 333,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,912.68 : 688,545.54 = 222,237.16 : x
  2. Step 2: Convert to fraction form
    458,912.68/688,545.54 = 222,237.16/x
  3. Step 3: Cross multiply
    458,912.68x = 688,545.54 × 222,237.16
  4. Step 4: Simplify right side
    458,912.68x = 153,020,405,340.27
  5. Step 5: Solve for x
    x = 153,020,405,340.27/458,912.68
  6. Step 6: Final answer
    x = 333,441.22

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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.