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Finding the Fourth Proportional to 551,234.20, 826,064.10 and 314,075.80

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Solution

The fourth proportional to 551,234.20, 826,064.10 and 314,075.80 is: 470,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,234.20 : 826,064.10 = 314,075.80 : x
  2. Step 2: Convert to fraction form
    551,234.20/826,064.10 = 314,075.80/x
  3. Step 3: Cross multiply
    551,234.20x = 826,064.10 × 314,075.80
  4. Step 4: Simplify right side
    551,234.20x = 259,446,743,058.78
  5. Step 5: Solve for x
    x = 259,446,743,058.78/551,234.20
  6. Step 6: Final answer
    x = 470,665.18

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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.