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Finding the Fourth Proportional to 410,578.84, 566,646.60 and 341,546.35

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Solution

The fourth proportional to 410,578.84, 566,646.60 and 341,546.35 is: 471,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,578.84 : 566,646.60 = 341,546.35 : x
  2. Step 2: Convert to fraction form
    410,578.84/566,646.60 = 341,546.35/x
  3. Step 3: Cross multiply
    410,578.84x = 566,646.60 × 341,546.35
  4. Step 4: Simplify right side
    410,578.84x = 193,536,077,969.91
  5. Step 5: Solve for x
    x = 193,536,077,969.91/410,578.84
  6. Step 6: Final answer
    x = 471,373.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.