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Finding the Fourth Proportional to 325,484.15, 488,048.24 and 258,446.81

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Solution

The fourth proportional to 325,484.15, 488,048.24 and 258,446.81 is: 387,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,484.15 : 488,048.24 = 258,446.81 : x
  2. Step 2: Convert to fraction form
    325,484.15/488,048.24 = 258,446.81/x
  3. Step 3: Cross multiply
    325,484.15x = 488,048.24 × 258,446.81
  4. Step 4: Simplify right side
    325,484.15x = 126,134,508,959.99
  5. Step 5: Solve for x
    x = 126,134,508,959.99/325,484.15
  6. Step 6: Final answer
    x = 387,528.89

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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.