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Finding the Fourth Proportional to 388,510.74, 582,124.59 and 177,683.94

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Solution

The fourth proportional to 388,510.74, 582,124.59 and 177,683.94 is: 266,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,510.74 : 582,124.59 = 177,683.94 : x
  2. Step 2: Convert to fraction form
    388,510.74/582,124.59 = 177,683.94/x
  3. Step 3: Cross multiply
    388,510.74x = 582,124.59 × 177,683.94
  4. Step 4: Simplify right side
    388,510.74x = 103,434,190,722.09
  5. Step 5: Solve for x
    x = 103,434,190,722.09/388,510.74
  6. Step 6: Final answer
    x = 266,232.51

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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.