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Finding the Fourth Proportional to 433,437.44, 598,193.28 and 242,499.20

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Solution

The fourth proportional to 433,437.44, 598,193.28 and 242,499.20 is: 334,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,437.44 : 598,193.28 = 242,499.20 : x
  2. Step 2: Convert to fraction form
    433,437.44/598,193.28 = 242,499.20/x
  3. Step 3: Cross multiply
    433,437.44x = 598,193.28 × 242,499.20
  4. Step 4: Simplify right side
    433,437.44x = 145,061,391,845.38
  5. Step 5: Solve for x
    x = 145,061,391,845.38/433,437.44
  6. Step 6: Final answer
    x = 334,676.65

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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.