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Finding the Fourth Proportional to 278,343.34, 417,590.34 and 198,482.20

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Solution

The fourth proportional to 278,343.34, 417,590.34 and 198,482.20 is: 297,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,343.34 : 417,590.34 = 198,482.20 : x
  2. Step 2: Convert to fraction form
    278,343.34/417,590.34 = 198,482.20/x
  3. Step 3: Cross multiply
    278,343.34x = 417,590.34 × 198,482.20
  4. Step 4: Simplify right side
    278,343.34x = 82,884,249,381.95
  5. Step 5: Solve for x
    x = 82,884,249,381.95/278,343.34
  6. Step 6: Final answer
    x = 297,777.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.