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Finding the Fourth Proportional to 471,643.94, 707,552.06 and 218,889.62

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Solution

The fourth proportional to 471,643.94, 707,552.06 and 218,889.62 is: 328,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,643.94 : 707,552.06 = 218,889.62 : x
  2. Step 2: Convert to fraction form
    471,643.94/707,552.06 = 218,889.62/x
  3. Step 3: Cross multiply
    471,643.94x = 707,552.06 × 218,889.62
  4. Step 4: Simplify right side
    471,643.94x = 154,875,798,805.99
  5. Step 5: Solve for x
    x = 154,875,798,805.99/471,643.94
  6. Step 6: Final answer
    x = 328,374.41

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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.