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Finding the Fourth Proportional to 497,111.84, 744,930.40 and 365,138.72

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Solution

The fourth proportional to 497,111.84, 744,930.40 and 365,138.72 is: 547,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,111.84 : 744,930.40 = 365,138.72 : x
  2. Step 2: Convert to fraction form
    497,111.84/744,930.40 = 365,138.72/x
  3. Step 3: Cross multiply
    497,111.84x = 744,930.40 × 365,138.72
  4. Step 4: Simplify right side
    497,111.84x = 272,002,932,745.09
  5. Step 5: Solve for x
    x = 272,002,932,745.09/497,111.84
  6. Step 6: Final answer
    x = 547,166.47

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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.