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Finding the Fourth Proportional to 523,041.84, 721,530 and 341,859.96

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Solution

The fourth proportional to 523,041.84, 721,530 and 341,859.96 is: 471,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,041.84 : 721,530 = 341,859.96 : x
  2. Step 2: Convert to fraction form
    523,041.84/721,530 = 341,859.96/x
  3. Step 3: Cross multiply
    523,041.84x = 721,530 × 341,859.96
  4. Step 4: Simplify right side
    523,041.84x = 246,662,216,938.80
  5. Step 5: Solve for x
    x = 246,662,216,938.80/523,041.84
  6. Step 6: Final answer
    x = 471,591.75

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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.