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Finding the Fourth Proportional to 970,703.84, 1,456,059 and 296,782.49

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Solution

The fourth proportional to 970,703.84, 1,456,059 and 296,782.49 is: 445,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,703.84 : 1,456,059 = 296,782.49 : x
  2. Step 2: Convert to fraction form
    970,703.84/1,456,059 = 296,782.49/x
  3. Step 3: Cross multiply
    970,703.84x = 1,456,059 × 296,782.49
  4. Step 4: Simplify right side
    970,703.84x = 432,132,815,606.91
  5. Step 5: Solve for x
    x = 432,132,815,606.91/970,703.84
  6. Step 6: Final answer
    x = 445,174.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.