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Finding the Fourth Proportional to 576,416, 864,627.84 and 182,432

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Solution

The fourth proportional to 576,416, 864,627.84 and 182,432 is: 273,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,416 : 864,627.84 = 182,432 : x
  2. Step 2: Convert to fraction form
    576,416/864,627.84 = 182,432/x
  3. Step 3: Cross multiply
    576,416x = 864,627.84 × 182,432
  4. Step 4: Simplify right side
    576,416x = 157,735,786,106.88
  5. Step 5: Solve for x
    x = 157,735,786,106.88/576,416
  6. Step 6: Final answer
    x = 273,649.22

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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.