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Finding the Fourth Proportional to 289,134.58, 434,198.19 and 177,470.50

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Solution

The fourth proportional to 289,134.58, 434,198.19 and 177,470.50 is: 266,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,134.58 : 434,198.19 = 177,470.50 : x
  2. Step 2: Convert to fraction form
    289,134.58/434,198.19 = 177,470.50/x
  3. Step 3: Cross multiply
    289,134.58x = 434,198.19 × 177,470.50
  4. Step 4: Simplify right side
    289,134.58x = 77,057,369,878.40
  5. Step 5: Solve for x
    x = 77,057,369,878.40/289,134.58
  6. Step 6: Final answer
    x = 266,510.39

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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.