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Finding the Fourth Proportional to 298,648.50, 448,038.29 and 219,522.84

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Solution

The fourth proportional to 298,648.50, 448,038.29 and 219,522.84 is: 329,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,648.50 : 448,038.29 = 219,522.84 : x
  2. Step 2: Convert to fraction form
    298,648.50/448,038.29 = 219,522.84/x
  3. Step 3: Cross multiply
    298,648.50x = 448,038.29 × 219,522.84
  4. Step 4: Simplify right side
    298,648.50x = 98,354,635,483.39
  5. Step 5: Solve for x
    x = 98,354,635,483.39/298,648.50
  6. Step 6: Final answer
    x = 329,332.43

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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.