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Finding the Fourth Proportional to 702,952.30, 969,348.45 and 601,314.21

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Solution

The fourth proportional to 702,952.30, 969,348.45 and 601,314.21 is: 829,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,952.30 : 969,348.45 = 601,314.21 : x
  2. Step 2: Convert to fraction form
    702,952.30/969,348.45 = 601,314.21/x
  3. Step 3: Cross multiply
    702,952.30x = 969,348.45 × 601,314.21
  4. Step 4: Simplify right side
    702,952.30x = 582,882,997,426.48
  5. Step 5: Solve for x
    x = 582,882,997,426.48/702,952.30
  6. Step 6: Final answer
    x = 829,192.82

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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.