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Finding the Fourth Proportional to 416,722.46, 575,075.09 and 225,736.34

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Solution

The fourth proportional to 416,722.46, 575,075.09 and 225,736.34 is: 311,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,722.46 : 575,075.09 = 225,736.34 : x
  2. Step 2: Convert to fraction form
    416,722.46/575,075.09 = 225,736.34/x
  3. Step 3: Cross multiply
    416,722.46x = 575,075.09 × 225,736.34
  4. Step 4: Simplify right side
    416,722.46x = 129,815,343,730.74
  5. Step 5: Solve for x
    x = 129,815,343,730.74/416,722.46
  6. Step 6: Final answer
    x = 311,515.12

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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.