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Finding the Fourth Proportional to 797,952, 1,101,173.76 and 440,256

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Solution

The fourth proportional to 797,952, 1,101,173.76 and 440,256 is: 607,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,952 : 1,101,173.76 = 440,256 : x
  2. Step 2: Convert to fraction form
    797,952/1,101,173.76 = 440,256/x
  3. Step 3: Cross multiply
    797,952x = 1,101,173.76 × 440,256
  4. Step 4: Simplify right side
    797,952x = 484,798,354,882.56
  5. Step 5: Solve for x
    x = 484,798,354,882.56/797,952
  6. Step 6: Final answer
    x = 607,553.28

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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.