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Finding the Fourth Proportional to 388,189.44, 582,293.76 and 107,706.24

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Solution

The fourth proportional to 388,189.44, 582,293.76 and 107,706.24 is: 161,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,189.44 : 582,293.76 = 107,706.24 : x
  2. Step 2: Convert to fraction form
    388,189.44/582,293.76 = 107,706.24/x
  3. Step 3: Cross multiply
    388,189.44x = 582,293.76 × 107,706.24
  4. Step 4: Simplify right side
    388,189.44x = 62,716,671,465.06
  5. Step 5: Solve for x
    x = 62,716,671,465.06/388,189.44
  6. Step 6: Final answer
    x = 161,562.02

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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.