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Finding the Fourth Proportional to 303,442.37, 455,294.77 and 116,410.13

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Solution

The fourth proportional to 303,442.37, 455,294.77 and 116,410.13 is: 174,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,442.37 : 455,294.77 = 116,410.13 : x
  2. Step 2: Convert to fraction form
    303,442.37/455,294.77 = 116,410.13/x
  3. Step 3: Cross multiply
    303,442.37x = 455,294.77 × 116,410.13
  4. Step 4: Simplify right side
    303,442.37x = 53,000,920,796.52
  5. Step 5: Solve for x
    x = 53,000,920,796.52/303,442.37
  6. Step 6: Final answer
    x = 174,665.53

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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.