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Finding the Fourth Proportional to 501,096.16, 751,529.22 and 298,749.52

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Solution

The fourth proportional to 501,096.16, 751,529.22 and 298,749.52 is: 448,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,096.16 : 751,529.22 = 298,749.52 : x
  2. Step 2: Convert to fraction form
    501,096.16/751,529.22 = 298,749.52/x
  3. Step 3: Cross multiply
    501,096.16x = 751,529.22 × 298,749.52
  4. Step 4: Simplify right side
    501,096.16x = 224,518,993,740.97
  5. Step 5: Solve for x
    x = 224,518,993,740.97/501,096.16
  6. Step 6: Final answer
    x = 448,055.71

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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.