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Finding the Fourth Proportional to 702,942.13, 970,064.75 and 380,652.24

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Solution

The fourth proportional to 702,942.13, 970,064.75 and 380,652.24 is: 525,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,942.13 : 970,064.75 = 380,652.24 : x
  2. Step 2: Convert to fraction form
    702,942.13/970,064.75 = 380,652.24/x
  3. Step 3: Cross multiply
    702,942.13x = 970,064.75 × 380,652.24
  4. Step 4: Simplify right side
    702,942.13x = 369,257,320,032.54
  5. Step 5: Solve for x
    x = 369,257,320,032.54/702,942.13
  6. Step 6: Final answer
    x = 525,302.59

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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.