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Finding the Fourth Proportional to 536,352, 804,631.52 and 203,902.08

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Solution

The fourth proportional to 536,352, 804,631.52 and 203,902.08 is: 305,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,352 : 804,631.52 = 203,902.08 : x
  2. Step 2: Convert to fraction form
    536,352/804,631.52 = 203,902.08/x
  3. Step 3: Cross multiply
    536,352x = 804,631.52 × 203,902.08
  4. Step 4: Simplify right side
    536,352x = 164,066,040,561.56
  5. Step 5: Solve for x
    x = 164,066,040,561.56/536,352
  6. Step 6: Final answer
    x = 305,892.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.