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Finding the Fourth Proportional to 313,897.80, 470,846.70 and 274,531.80

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Solution

The fourth proportional to 313,897.80, 470,846.70 and 274,531.80 is: 411,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,897.80 : 470,846.70 = 274,531.80 : x
  2. Step 2: Convert to fraction form
    313,897.80/470,846.70 = 274,531.80/x
  3. Step 3: Cross multiply
    313,897.80x = 470,846.70 × 274,531.80
  4. Step 4: Simplify right side
    313,897.80x = 129,262,392,075.06
  5. Step 5: Solve for x
    x = 129,262,392,075.06/313,897.80
  6. Step 6: Final answer
    x = 411,797.70

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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.