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Finding the Fourth Proportional to 338,075.80, 507,193.68 and 110,370.20

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Solution

The fourth proportional to 338,075.80, 507,193.68 and 110,370.20 is: 165,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,075.80 : 507,193.68 = 110,370.20 : x
  2. Step 2: Convert to fraction form
    338,075.80/507,193.68 = 110,370.20/x
  3. Step 3: Cross multiply
    338,075.80x = 507,193.68 × 110,370.20
  4. Step 4: Simplify right side
    338,075.80x = 55,979,067,900.34
  5. Step 5: Solve for x
    x = 55,979,067,900.34/338,075.80
  6. Step 6: Final answer
    x = 165,581.41

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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.