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Finding the Fourth Proportional to 523,066.50, 784,716.39 and 190,642.50

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Solution

The fourth proportional to 523,066.50, 784,716.39 and 190,642.50 is: 286,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,066.50 : 784,716.39 = 190,642.50 : x
  2. Step 2: Convert to fraction form
    523,066.50/784,716.39 = 190,642.50/x
  3. Step 3: Cross multiply
    523,066.50x = 784,716.39 × 190,642.50
  4. Step 4: Simplify right side
    523,066.50x = 149,600,294,380.58
  5. Step 5: Solve for x
    x = 149,600,294,380.58/523,066.50
  6. Step 6: Final answer
    x = 286,006.26

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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.