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Finding the Fourth Proportional to 553,782.38, 764,220.02 and 299,133.63

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Solution

The fourth proportional to 553,782.38, 764,220.02 and 299,133.63 is: 412,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,782.38 : 764,220.02 = 299,133.63 : x
  2. Step 2: Convert to fraction form
    553,782.38/764,220.02 = 299,133.63/x
  3. Step 3: Cross multiply
    553,782.38x = 764,220.02 × 299,133.63
  4. Step 4: Simplify right side
    553,782.38x = 228,603,907,205.60
  5. Step 5: Solve for x
    x = 228,603,907,205.60/553,782.38
  6. Step 6: Final answer
    x = 412,804.59

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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.