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Finding the Fourth Proportional to 519,662.82, 779,515.92 and 164,668.98

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Solution

The fourth proportional to 519,662.82, 779,515.92 and 164,668.98 is: 247,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,662.82 : 779,515.92 = 164,668.98 : x
  2. Step 2: Convert to fraction form
    519,662.82/779,515.92 = 164,668.98/x
  3. Step 3: Cross multiply
    519,662.82x = 779,515.92 × 164,668.98
  4. Step 4: Simplify right side
    519,662.82x = 128,362,091,440.16
  5. Step 5: Solve for x
    x = 128,362,091,440.16/519,662.82
  6. Step 6: Final answer
    x = 247,010.34

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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.