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Finding the Fourth Proportional to 549,228.80, 823,843.20 and 194,643.20

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Solution

The fourth proportional to 549,228.80, 823,843.20 and 194,643.20 is: 291,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,228.80 : 823,843.20 = 194,643.20 : x
  2. Step 2: Convert to fraction form
    549,228.80/823,843.20 = 194,643.20/x
  3. Step 3: Cross multiply
    549,228.80x = 823,843.20 × 194,643.20
  4. Step 4: Simplify right side
    549,228.80x = 160,355,476,746.24
  5. Step 5: Solve for x
    x = 160,355,476,746.24/549,228.80
  6. Step 6: Final answer
    x = 291,964.80

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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.