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Finding the Fourth Proportional to 388,534.80, 582,802.20 and 164,148.60

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Solution

The fourth proportional to 388,534.80, 582,802.20 and 164,148.60 is: 246,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,534.80 : 582,802.20 = 164,148.60 : x
  2. Step 2: Convert to fraction form
    388,534.80/582,802.20 = 164,148.60/x
  3. Step 3: Cross multiply
    388,534.80x = 582,802.20 × 164,148.60
  4. Step 4: Simplify right side
    388,534.80x = 95,666,165,206.92
  5. Step 5: Solve for x
    x = 95,666,165,206.92/388,534.80
  6. Step 6: Final answer
    x = 246,222.90

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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.