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Finding the Fourth Proportional to 549,704.16, 825,088.32 and 265,594.56

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Solution

The fourth proportional to 549,704.16, 825,088.32 and 265,594.56 is: 398,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,704.16 : 825,088.32 = 265,594.56 : x
  2. Step 2: Convert to fraction form
    549,704.16/825,088.32 = 265,594.56/x
  3. Step 3: Cross multiply
    549,704.16x = 825,088.32 × 265,594.56
  4. Step 4: Simplify right side
    549,704.16x = 219,138,969,311.54
  5. Step 5: Solve for x
    x = 219,138,969,311.54/549,704.16
  6. Step 6: Final answer
    x = 398,648.92

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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.