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Finding the Fourth Proportional to 549,258.64, 823,805.88 and 189,486.16

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Solution

The fourth proportional to 549,258.64, 823,805.88 and 189,486.16 is: 284,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,258.64 : 823,805.88 = 189,486.16 : x
  2. Step 2: Convert to fraction form
    549,258.64/823,805.88 = 189,486.16/x
  3. Step 3: Cross multiply
    549,258.64x = 823,805.88 × 189,486.16
  4. Step 4: Simplify right side
    549,258.64x = 156,099,812,786.62
  5. Step 5: Solve for x
    x = 156,099,812,786.62/549,258.64
  6. Step 6: Final answer
    x = 284,200.92

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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.