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Finding the Fourth Proportional to 278,344.84, 417,592.59 and 198,483.70

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Solution

The fourth proportional to 278,344.84, 417,592.59 and 198,483.70 is: 297,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,344.84 : 417,592.59 = 198,483.70 : x
  2. Step 2: Convert to fraction form
    278,344.84/417,592.59 = 198,483.70/x
  3. Step 3: Cross multiply
    278,344.84x = 417,592.59 × 198,483.70
  4. Step 4: Simplify right side
    278,344.84x = 82,885,322,355.78
  5. Step 5: Solve for x
    x = 82,885,322,355.78/278,344.84
  6. Step 6: Final answer
    x = 297,779.27

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1.5x scale

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.