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Finding the Fourth Proportional to 549,298.80, 823,948.20 and 194,713.20

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Solution

The fourth proportional to 549,298.80, 823,948.20 and 194,713.20 is: 292,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,298.80 : 823,948.20 = 194,713.20 : x
  2. Step 2: Convert to fraction form
    549,298.80/823,948.20 = 194,713.20/x
  3. Step 3: Cross multiply
    549,298.80x = 823,948.20 × 194,713.20
  4. Step 4: Simplify right side
    549,298.80x = 160,433,590,656.24
  5. Step 5: Solve for x
    x = 160,433,590,656.24/549,298.80
  6. Step 6: Final answer
    x = 292,069.80

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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.