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Finding the Fourth Proportional to 290,175,019.20, 434,695,658.40 and 174,816,892.80

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Solution

The fourth proportional to 290,175,019.20, 434,695,658.40 and 174,816,892.80 is: 261,883,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,175,019.20 : 434,695,658.40 = 174,816,892.80 : x
  2. Step 2: Convert to fraction form
    290,175,019.20/434,695,658.40 = 174,816,892.80/x
  3. Step 3: Cross multiply
    290,175,019.20x = 434,695,658.40 × 174,816,892.80
  4. Step 4: Simplify right side
    290,175,019.20x = 75,992,144,315,138,224
  5. Step 5: Solve for x
    x = 75,992,144,315,138,224/290,175,019.20
  6. Step 6: Final answer
    x = 261,883,826.27

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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.