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Finding the Fourth Proportional to 549,234.20, 823,195.20 and 282,857.60

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Solution

The fourth proportional to 549,234.20, 823,195.20 and 282,857.60 is: 423,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,234.20 : 823,195.20 = 282,857.60 : x
  2. Step 2: Convert to fraction form
    549,234.20/823,195.20 = 282,857.60/x
  3. Step 3: Cross multiply
    549,234.20x = 823,195.20 × 282,857.60
  4. Step 4: Simplify right side
    549,234.20x = 232,847,018,603.52
  5. Step 5: Solve for x
    x = 232,847,018,603.52/549,234.20
  6. Step 6: Final answer
    x = 423,948.51

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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.