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Finding the Fourth Proportional to 677,993.63, 935,563.06 and 406,054.56

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Solution

The fourth proportional to 677,993.63, 935,563.06 and 406,054.56 is: 560,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,993.63 : 935,563.06 = 406,054.56 : x
  2. Step 2: Convert to fraction form
    677,993.63/935,563.06 = 406,054.56/x
  3. Step 3: Cross multiply
    677,993.63x = 935,563.06 × 406,054.56
  4. Step 4: Simplify right side
    677,993.63x = 379,889,642,002.74
  5. Step 5: Solve for x
    x = 379,889,642,002.74/677,993.63
  6. Step 6: Final answer
    x = 560,314.47

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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.