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Finding the Fourth Proportional to 408,533.65, 563,792.48 and 247,297.48

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Solution

The fourth proportional to 408,533.65, 563,792.48 and 247,297.48 is: 341,280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,533.65 : 563,792.48 = 247,297.48 : x
  2. Step 2: Convert to fraction form
    408,533.65/563,792.48 = 247,297.48/x
  3. Step 3: Cross multiply
    408,533.65x = 563,792.48 × 247,297.48
  4. Step 4: Simplify right side
    408,533.65x = 139,424,459,546.95
  5. Step 5: Solve for x
    x = 139,424,459,546.95/408,533.65
  6. Step 6: Final answer
    x = 341,280.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.