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Finding the Fourth Proportional to 359,740.85, 496,446.39 and 198,595.98

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Solution

The fourth proportional to 359,740.85, 496,446.39 and 198,595.98 is: 274,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,740.85 : 496,446.39 = 198,595.98 : x
  2. Step 2: Convert to fraction form
    359,740.85/496,446.39 = 198,595.98/x
  3. Step 3: Cross multiply
    359,740.85x = 496,446.39 × 198,595.98
  4. Step 4: Simplify right side
    359,740.85x = 98,592,257,339.51
  5. Step 5: Solve for x
    x = 98,592,257,339.51/359,740.85
  6. Step 6: Final answer
    x = 274,064.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.