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Finding the Fourth Proportional to 562,464.56, 775,393.80 and 401,039.84

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Solution

The fourth proportional to 562,464.56, 775,393.80 and 401,039.84 is: 552,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,464.56 : 775,393.80 = 401,039.84 : x
  2. Step 2: Convert to fraction form
    562,464.56/775,393.80 = 401,039.84/x
  3. Step 3: Cross multiply
    562,464.56x = 775,393.80 × 401,039.84
  4. Step 4: Simplify right side
    562,464.56x = 310,963,805,488.99
  5. Step 5: Solve for x
    x = 310,963,805,488.99/562,464.56
  6. Step 6: Final answer
    x = 552,859.38

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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.