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Finding the Fourth Proportional to 655,258.23, 983,123.87 and 228,856.82

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Solution

The fourth proportional to 655,258.23, 983,123.87 and 228,856.82 is: 343,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,258.23 : 983,123.87 = 228,856.82 : x
  2. Step 2: Convert to fraction form
    655,258.23/983,123.87 = 228,856.82/x
  3. Step 3: Cross multiply
    655,258.23x = 983,123.87 × 228,856.82
  4. Step 4: Simplify right side
    655,258.23x = 224,994,596,494.39
  5. Step 5: Solve for x
    x = 224,994,596,494.39/655,258.23
  6. Step 6: Final answer
    x = 343,367.83

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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.