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Finding the Fourth Proportional to 577,997.28, 797,582.16 and 360,185.76

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Solution

The fourth proportional to 577,997.28, 797,582.16 and 360,185.76 is: 497,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,997.28 : 797,582.16 = 360,185.76 : x
  2. Step 2: Convert to fraction form
    577,997.28/797,582.16 = 360,185.76/x
  3. Step 3: Cross multiply
    577,997.28x = 797,582.16 × 360,185.76
  4. Step 4: Simplify right side
    577,997.28x = 287,277,736,462.04
  5. Step 5: Solve for x
    x = 287,277,736,462.04/577,997.28
  6. Step 6: Final answer
    x = 497,022.64

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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.