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Finding the Fourth Proportional to 298,864.36, 448,296.54 and 172,697.32

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Solution

The fourth proportional to 298,864.36, 448,296.54 and 172,697.32 is: 259,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,864.36 : 448,296.54 = 172,697.32 : x
  2. Step 2: Convert to fraction form
    298,864.36/448,296.54 = 172,697.32/x
  3. Step 3: Cross multiply
    298,864.36x = 448,296.54 × 172,697.32
  4. Step 4: Simplify right side
    298,864.36x = 77,419,611,023.27
  5. Step 5: Solve for x
    x = 77,419,611,023.27/298,864.36
  6. Step 6: Final answer
    x = 259,045.98

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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.