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Finding the Fourth Proportional to 408,323.16, 563,511.42 and 227,075.58

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Solution

The fourth proportional to 408,323.16, 563,511.42 and 227,075.58 is: 313,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,323.16 : 563,511.42 = 227,075.58 : x
  2. Step 2: Convert to fraction form
    408,323.16/563,511.42 = 227,075.58/x
  3. Step 3: Cross multiply
    408,323.16x = 563,511.42 × 227,075.58
  4. Step 4: Simplify right side
    408,323.16x = 127,959,682,533.12
  5. Step 5: Solve for x
    x = 127,959,682,533.12/408,323.16
  6. Step 6: Final answer
    x = 313,378.46

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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.