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Finding the Fourth Proportional to 523,846.84, 785,770.38 and 149,869.84

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Solution

The fourth proportional to 523,846.84, 785,770.38 and 149,869.84 is: 224,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,846.84 : 785,770.38 = 149,869.84 : x
  2. Step 2: Convert to fraction form
    523,846.84/785,770.38 = 149,869.84/x
  3. Step 3: Cross multiply
    523,846.84x = 785,770.38 × 149,869.84
  4. Step 4: Simplify right side
    523,846.84x = 117,763,281,127.34
  5. Step 5: Solve for x
    x = 117,763,281,127.34/523,846.84
  6. Step 6: Final answer
    x = 224,804.79

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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.