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Finding the Fourth Proportional to 562,449.12, 775,372.56 and 401,024.16

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Solution

The fourth proportional to 562,449.12, 775,372.56 and 401,024.16 is: 552,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,449.12 : 775,372.56 = 401,024.16 : x
  2. Step 2: Convert to fraction form
    562,449.12/775,372.56 = 401,024.16/x
  3. Step 3: Cross multiply
    562,449.12x = 775,372.56 × 401,024.16
  4. Step 4: Simplify right side
    562,449.12x = 310,943,129,561.05
  5. Step 5: Solve for x
    x = 310,943,129,561.05/562,449.12
  6. Step 6: Final answer
    x = 552,837.79

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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.