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Finding the Fourth Proportional to 549,311.04, 823,969.20 and 194,325.36

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Solution

The fourth proportional to 549,311.04, 823,969.20 and 194,325.36 is: 291,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,311.04 : 823,969.20 = 194,325.36 : x
  2. Step 2: Convert to fraction form
    549,311.04/823,969.20 = 194,325.36/x
  3. Step 3: Cross multiply
    549,311.04x = 823,969.20 × 194,325.36
  4. Step 4: Simplify right side
    549,311.04x = 160,118,111,418.91
  5. Step 5: Solve for x
    x = 160,118,111,418.91/549,311.04
  6. Step 6: Final answer
    x = 291,488.97

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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.