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Finding the Fourth Proportional to 702,533.40, 969,496.02 and 380,243.44

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Solution

The fourth proportional to 702,533.40, 969,496.02 and 380,243.44 is: 524,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,533.40 : 969,496.02 = 380,243.44 : x
  2. Step 2: Convert to fraction form
    702,533.40/969,496.02 = 380,243.44/x
  3. Step 3: Cross multiply
    702,533.40x = 969,496.02 × 380,243.44
  4. Step 4: Simplify right side
    702,533.40x = 368,644,501,711.11
  5. Step 5: Solve for x
    x = 368,644,501,711.11/702,533.40
  6. Step 6: Final answer
    x = 524,735.91

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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.