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Finding the Fourth Proportional to 549,263.20, 823,894.80 and 194,288.80

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Solution

The fourth proportional to 549,263.20, 823,894.80 and 194,288.80 is: 291,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,263.20 : 823,894.80 = 194,288.80 : x
  2. Step 2: Convert to fraction form
    549,263.20/823,894.80 = 194,288.80/x
  3. Step 3: Cross multiply
    549,263.20x = 823,894.80 × 194,288.80
  4. Step 4: Simplify right side
    549,263.20x = 160,073,532,018.24
  5. Step 5: Solve for x
    x = 160,073,532,018.24/549,263.20
  6. Step 6: Final answer
    x = 291,433.20

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1.5x scale

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.