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Finding the Fourth Proportional to 560,297.25, 773,212.50 and 305,653.77

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Solution

The fourth proportional to 560,297.25, 773,212.50 and 305,653.77 is: 421,803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,297.25 : 773,212.50 = 305,653.77 : x
  2. Step 2: Convert to fraction form
    560,297.25/773,212.50 = 305,653.77/x
  3. Step 3: Cross multiply
    560,297.25x = 773,212.50 × 305,653.77
  4. Step 4: Simplify right side
    560,297.25x = 236,335,315,636.13
  5. Step 5: Solve for x
    x = 236,335,315,636.13/560,297.25
  6. Step 6: Final answer
    x = 421,803.45

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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.