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Finding the Fourth Proportional to 523,026.84, 784,540.26 and 365,562.84

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Solution

The fourth proportional to 523,026.84, 784,540.26 and 365,562.84 is: 548,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,026.84 : 784,540.26 = 365,562.84 : x
  2. Step 2: Convert to fraction form
    523,026.84/784,540.26 = 365,562.84/x
  3. Step 3: Cross multiply
    523,026.84x = 784,540.26 × 365,562.84
  4. Step 4: Simplify right side
    523,026.84x = 286,798,765,539.94
  5. Step 5: Solve for x
    x = 286,798,765,539.94/523,026.84
  6. Step 6: Final answer
    x = 548,344.26

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1.5x scale

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.