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Finding the Fourth Proportional to 549,151.52, 823,750.28 and 194,168.48

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Solution

The fourth proportional to 549,151.52, 823,750.28 and 194,168.48 is: 291,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,151.52 : 823,750.28 = 194,168.48 : x
  2. Step 2: Convert to fraction form
    549,151.52/823,750.28 = 194,168.48/x
  3. Step 3: Cross multiply
    549,151.52x = 823,750.28 × 194,168.48
  4. Step 4: Simplify right side
    549,151.52x = 159,946,339,767.17
  5. Step 5: Solve for x
    x = 159,946,339,767.17/549,151.52
  6. Step 6: Final answer
    x = 291,260.85

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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.