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Finding the Fourth Proportional to 360,393.50, 497,299.20 and 199,226.18

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Solution

The fourth proportional to 360,393.50, 497,299.20 and 199,226.18 is: 274,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,393.50 : 497,299.20 = 199,226.18 : x
  2. Step 2: Convert to fraction form
    360,393.50/497,299.20 = 199,226.18/x
  3. Step 3: Cross multiply
    360,393.50x = 497,299.20 × 199,226.18
  4. Step 4: Simplify right side
    360,393.50x = 99,075,020,429.21
  5. Step 5: Solve for x
    x = 99,075,020,429.21/360,393.50
  6. Step 6: Final answer
    x = 274,907.90

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1.5x scale

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.