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Finding the Fourth Proportional to 388,483.74, 582,084.09 and 177,656.94

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Solution

The fourth proportional to 388,483.74, 582,084.09 and 177,656.94 is: 266,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,483.74 : 582,084.09 = 177,656.94 : x
  2. Step 2: Convert to fraction form
    388,483.74/582,084.09 = 177,656.94/x
  3. Step 3: Cross multiply
    388,483.74x = 582,084.09 × 177,656.94
  4. Step 4: Simplify right side
    388,483.74x = 103,411,278,252.09
  5. Step 5: Solve for x
    x = 103,411,278,252.09/388,483.74
  6. Step 6: Final answer
    x = 266,192.04

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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.