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Finding the Fourth Proportional to 359,570.67, 496,191.95 and 196,223.03

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Solution

The fourth proportional to 359,570.67, 496,191.95 and 196,223.03 is: 270,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,570.67 : 496,191.95 = 196,223.03 : x
  2. Step 2: Convert to fraction form
    359,570.67/496,191.95 = 196,223.03/x
  3. Step 3: Cross multiply
    359,570.67x = 496,191.95 × 196,223.03
  4. Step 4: Simplify right side
    359,570.67x = 97,364,288,972.51
  5. Step 5: Solve for x
    x = 97,364,288,972.51/359,570.67
  6. Step 6: Final answer
    x = 270,779.29

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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.