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Finding the Fourth Proportional to 702,533.90, 969,496.71 and 380,243.94

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Solution

The fourth proportional to 702,533.90, 969,496.71 and 380,243.94 is: 524,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,533.90 : 969,496.71 = 380,243.94 : x
  2. Step 2: Convert to fraction form
    702,533.90/969,496.71 = 380,243.94/x
  3. Step 3: Cross multiply
    702,533.90x = 969,496.71 × 380,243.94
  4. Step 4: Simplify right side
    702,533.90x = 368,645,248,827.44
  5. Step 5: Solve for x
    x = 368,645,248,827.44/702,533.90
  6. Step 6: Final answer
    x = 524,736.60

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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.