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Finding the Fourth Proportional to 433,319.12, 597,978.34 and 242,333.27

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Solution

The fourth proportional to 433,319.12, 597,978.34 and 242,333.27 is: 334,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,319.12 : 597,978.34 = 242,333.27 : x
  2. Step 2: Convert to fraction form
    433,319.12/597,978.34 = 242,333.27/x
  3. Step 3: Cross multiply
    433,319.12x = 597,978.34 × 242,333.27
  4. Step 4: Simplify right side
    433,319.12x = 144,910,042,319.81
  5. Step 5: Solve for x
    x = 144,910,042,319.81/433,319.12
  6. Step 6: Final answer
    x = 334,418.76

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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.