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Finding the Fourth Proportional to 702,853.41, 969,212.75 and 601,215.29

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Solution

The fourth proportional to 702,853.41, 969,212.75 and 601,215.29 is: 829,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,853.41 : 969,212.75 = 601,215.29 : x
  2. Step 2: Convert to fraction form
    702,853.41/969,212.75 = 601,215.29/x
  3. Step 3: Cross multiply
    702,853.41x = 969,212.75 × 601,215.29
  4. Step 4: Simplify right side
    702,853.41x = 582,705,516,710.81
  5. Step 5: Solve for x
    x = 582,705,516,710.81/702,853.41
  6. Step 6: Final answer
    x = 829,056.97

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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.