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Finding the Fourth Proportional to 334,006.41, 460,978.09 and 211,509.97

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Solution

The fourth proportional to 334,006.41, 460,978.09 and 211,509.97 is: 291,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,006.41 : 460,978.09 = 211,509.97 : x
  2. Step 2: Convert to fraction form
    334,006.41/460,978.09 = 211,509.97/x
  3. Step 3: Cross multiply
    334,006.41x = 460,978.09 × 211,509.97
  4. Step 4: Simplify right side
    334,006.41x = 97,501,461,986.56
  5. Step 5: Solve for x
    x = 97,501,461,986.56/334,006.41
  6. Step 6: Final answer
    x = 291,914.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.