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Finding the Fourth Proportional to 549,600.80, 824,401.20 and 409,632.80

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Solution

The fourth proportional to 549,600.80, 824,401.20 and 409,632.80 is: 614,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,600.80 : 824,401.20 = 409,632.80 : x
  2. Step 2: Convert to fraction form
    549,600.80/824,401.20 = 409,632.80/x
  3. Step 3: Cross multiply
    549,600.80x = 824,401.20 × 409,632.80
  4. Step 4: Simplify right side
    549,600.80x = 337,701,771,879.36
  5. Step 5: Solve for x
    x = 337,701,771,879.36/549,600.80
  6. Step 6: Final answer
    x = 614,449.20

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Similar ratio
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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.