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Finding the Fourth Proportional to 702,295.71, 969,164.96 and 380,011.49

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Solution

The fourth proportional to 702,295.71, 969,164.96 and 380,011.49 is: 524,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,295.71 : 969,164.96 = 380,011.49 : x
  2. Step 2: Convert to fraction form
    702,295.71/969,164.96 = 380,011.49/x
  3. Step 3: Cross multiply
    702,295.71x = 969,164.96 × 380,011.49
  4. Step 4: Simplify right side
    702,295.71x = 368,293,820,505.39
  5. Step 5: Solve for x
    x = 368,293,820,505.39/702,295.71
  6. Step 6: Final answer
    x = 524,414.17

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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.