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Finding the Fourth Proportional to 501,075.46, 691,512.42 and 297,247.06

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Solution

The fourth proportional to 501,075.46, 691,512.42 and 297,247.06 is: 410,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,075.46 : 691,512.42 = 297,247.06 : x
  2. Step 2: Convert to fraction form
    501,075.46/691,512.42 = 297,247.06/x
  3. Step 3: Cross multiply
    501,075.46x = 691,512.42 × 297,247.06
  4. Step 4: Simplify right side
    501,075.46x = 205,550,033,798.49
  5. Step 5: Solve for x
    x = 205,550,033,798.49/501,075.46
  6. Step 6: Final answer
    x = 410,217.72

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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.