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Finding the Fourth Proportional to 4,978,215.84, 7,467,313.35 and 1,566,800.58

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Solution

The fourth proportional to 4,978,215.84, 7,467,313.35 and 1,566,800.58 is: 2,350,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978,215.84 : 7,467,313.35 = 1,566,800.58 : x
  2. Step 2: Convert to fraction form
    4,978,215.84/7,467,313.35 = 1,566,800.58/x
  3. Step 3: Cross multiply
    4,978,215.84x = 7,467,313.35 × 1,566,800.58
  4. Step 4: Simplify right side
    4,978,215.84x = 11,699,790,887,821.74
  5. Step 5: Solve for x
    x = 11,699,790,887,821.74/4,978,215.84
  6. Step 6: Final answer
    x = 2,350,197.59

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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.