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Finding the Fourth Proportional to 293,476, 405,005.52 and 159,348.64

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Solution

The fourth proportional to 293,476, 405,005.52 and 159,348.64 is: 219,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,476 : 405,005.52 = 159,348.64 : x
  2. Step 2: Convert to fraction form
    293,476/405,005.52 = 159,348.64/x
  3. Step 3: Cross multiply
    293,476x = 405,005.52 × 159,348.64
  4. Step 4: Simplify right side
    293,476x = 64,537,078,804.49
  5. Step 5: Solve for x
    x = 64,537,078,804.49/293,476
  6. Step 6: Final answer
    x = 219,905.81

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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.