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Finding the Fourth Proportional to 577,703.84, 797,305.56 and 323,069.36

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Solution

The fourth proportional to 577,703.84, 797,305.56 and 323,069.36 is: 445,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,703.84 : 797,305.56 = 323,069.36 : x
  2. Step 2: Convert to fraction form
    577,703.84/797,305.56 = 323,069.36/x
  3. Step 3: Cross multiply
    577,703.84x = 797,305.56 × 323,069.36
  4. Step 4: Simplify right side
    577,703.84x = 257,584,996,993.64
  5. Step 5: Solve for x
    x = 257,584,996,993.64/577,703.84
  6. Step 6: Final answer
    x = 445,877.25

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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.