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Finding the Fourth Proportional to 549,568.60, 824,200.62 and 194,535.88

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Solution

The fourth proportional to 549,568.60, 824,200.62 and 194,535.88 is: 291,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,568.60 : 824,200.62 = 194,535.88 : x
  2. Step 2: Convert to fraction form
    549,568.60/824,200.62 = 194,535.88/x
  3. Step 3: Cross multiply
    549,568.60x = 824,200.62 × 194,535.88
  4. Step 4: Simplify right side
    549,568.60x = 160,336,592,908.25
  5. Step 5: Solve for x
    x = 160,336,592,908.25/549,568.60
  6. Step 6: Final answer
    x = 291,749.92

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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.