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Finding the Fourth Proportional to 493,065.14, 739,153.62 and 177,300

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Solution

The fourth proportional to 493,065.14, 739,153.62 and 177,300 is: 265,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,065.14 : 739,153.62 = 177,300 : x
  2. Step 2: Convert to fraction form
    493,065.14/739,153.62 = 177,300/x
  3. Step 3: Cross multiply
    493,065.14x = 739,153.62 × 177,300
  4. Step 4: Simplify right side
    493,065.14x = 131,051,936,826
  5. Step 5: Solve for x
    x = 131,051,936,826/493,065.14
  6. Step 6: Final answer
    x = 265,790.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.