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Finding the Fourth Proportional to 474,650.64, 654,992.65 and 259,749.19

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Solution

The fourth proportional to 474,650.64, 654,992.65 and 259,749.19 is: 358,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,650.64 : 654,992.65 = 259,749.19 : x
  2. Step 2: Convert to fraction form
    474,650.64/654,992.65 = 259,749.19/x
  3. Step 3: Cross multiply
    474,650.64x = 654,992.65 × 259,749.19
  4. Step 4: Simplify right side
    474,650.64x = 170,133,810,293.45
  5. Step 5: Solve for x
    x = 170,133,810,293.45/474,650.64
  6. Step 6: Final answer
    x = 358,440.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.