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Finding the Fourth Proportional to 549,271.70, 823,907.55 and 194,297.30

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Solution

The fourth proportional to 549,271.70, 823,907.55 and 194,297.30 is: 291,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,271.70 : 823,907.55 = 194,297.30 : x
  2. Step 2: Convert to fraction form
    549,271.70/823,907.55 = 194,297.30/x
  3. Step 3: Cross multiply
    549,271.70x = 823,907.55 × 194,297.30
  4. Step 4: Simplify right side
    549,271.70x = 160,083,012,414.62
  5. Step 5: Solve for x
    x = 160,083,012,414.62/549,271.70
  6. Step 6: Final answer
    x = 291,445.95

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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.