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Finding the Fourth Proportional to 433,057.16, 597,608.34 and 242,093

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Solution

The fourth proportional to 433,057.16, 597,608.34 and 242,093 is: 334,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,057.16 : 597,608.34 = 242,093 : x
  2. Step 2: Convert to fraction form
    433,057.16/597,608.34 = 242,093/x
  3. Step 3: Cross multiply
    433,057.16x = 597,608.34 × 242,093
  4. Step 4: Simplify right side
    433,057.16x = 144,676,795,855.62
  5. Step 5: Solve for x
    x = 144,676,795,855.62/433,057.16
  6. Step 6: Final answer
    x = 334,082.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.