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Finding the Fourth Proportional to 359,681.70, 496,372.77 and 196,347.90

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Solution

The fourth proportional to 359,681.70, 496,372.77 and 196,347.90 is: 270,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,681.70 : 496,372.77 = 196,347.90 : x
  2. Step 2: Convert to fraction form
    359,681.70/496,372.77 = 196,347.90/x
  3. Step 3: Cross multiply
    359,681.70x = 496,372.77 × 196,347.90
  4. Step 4: Simplify right side
    359,681.70x = 97,461,751,006.68
  5. Step 5: Solve for x
    x = 97,461,751,006.68/359,681.70
  6. Step 6: Final answer
    x = 270,966.67

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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.