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Finding the Fourth Proportional to 577,112.56, 796,400.40 and 322,465.84

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Solution

The fourth proportional to 577,112.56, 796,400.40 and 322,465.84 is: 444,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,112.56 : 796,400.40 = 322,465.84 : x
  2. Step 2: Convert to fraction form
    577,112.56/796,400.40 = 322,465.84/x
  3. Step 3: Cross multiply
    577,112.56x = 796,400.40 × 322,465.84
  4. Step 4: Simplify right side
    577,112.56x = 256,811,923,962.34
  5. Step 5: Solve for x
    x = 256,811,923,962.34/577,112.56
  6. Step 6: Final answer
    x = 444,994.52

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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.