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Finding the Fourth Proportional to 405,756.76, 608,896.26 and 218,897.24

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Solution

The fourth proportional to 405,756.76, 608,896.26 and 218,897.24 is: 328,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,756.76 : 608,896.26 = 218,897.24 : x
  2. Step 2: Convert to fraction form
    405,756.76/608,896.26 = 218,897.24/x
  3. Step 3: Cross multiply
    405,756.76x = 608,896.26 × 218,897.24
  4. Step 4: Simplify right side
    405,756.76x = 133,285,710,760.32
  5. Step 5: Solve for x
    x = 133,285,710,760.32/405,756.76
  6. Step 6: Final answer
    x = 328,486.73

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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.