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Finding the Fourth Proportional to 433,782.88, 598,614.50 and 242,796.22

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Solution

The fourth proportional to 433,782.88, 598,614.50 and 242,796.22 is: 335,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,782.88 : 598,614.50 = 242,796.22 : x
  2. Step 2: Convert to fraction form
    433,782.88/598,614.50 = 242,796.22/x
  3. Step 3: Cross multiply
    433,782.88x = 598,614.50 × 242,796.22
  4. Step 4: Simplify right side
    433,782.88x = 145,341,337,837.19
  5. Step 5: Solve for x
    x = 145,341,337,837.19/433,782.88
  6. Step 6: Final answer
    x = 335,055.50

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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.