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Finding the Fourth Proportional to 549,251.52, 823,891.68 and 175,274.16

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Solution

The fourth proportional to 549,251.52, 823,891.68 and 175,274.16 is: 262,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,251.52 : 823,891.68 = 175,274.16 : x
  2. Step 2: Convert to fraction form
    549,251.52/823,891.68 = 175,274.16/x
  3. Step 3: Cross multiply
    549,251.52x = 823,891.68 × 175,274.16
  4. Step 4: Simplify right side
    549,251.52x = 144,406,922,142.99
  5. Step 5: Solve for x
    x = 144,406,922,142.99/549,251.52
  6. Step 6: Final answer
    x = 262,915.84

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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.