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Finding the Fourth Proportional to 313,050.48, 469,558.44 and 228,896.88

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Solution

The fourth proportional to 313,050.48, 469,558.44 and 228,896.88 is: 343,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,050.48 : 469,558.44 = 228,896.88 : x
  2. Step 2: Convert to fraction form
    313,050.48/469,558.44 = 228,896.88/x
  3. Step 3: Cross multiply
    313,050.48x = 469,558.44 × 228,896.88
  4. Step 4: Simplify right side
    313,050.48x = 107,480,461,893.67
  5. Step 5: Solve for x
    x = 107,480,461,893.67/313,050.48
  6. Step 6: Final answer
    x = 343,332.69

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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.