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Finding the Fourth Proportional to 471,340.94, 707,011.41 and 388,059.98

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Solution

The fourth proportional to 471,340.94, 707,011.41 and 388,059.98 is: 582,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,340.94 : 707,011.41 = 388,059.98 : x
  2. Step 2: Convert to fraction form
    471,340.94/707,011.41 = 388,059.98/x
  3. Step 3: Cross multiply
    471,340.94x = 707,011.41 × 388,059.98
  4. Step 4: Simplify right side
    471,340.94x = 274,362,833,624.37
  5. Step 5: Solve for x
    x = 274,362,833,624.37/471,340.94
  6. Step 6: Final answer
    x = 582,089.97

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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.