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Finding the Fourth Proportional to 299,323.63, 413,012.22 and 176,835.96

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Solution

The fourth proportional to 299,323.63, 413,012.22 and 176,835.96 is: 244,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,323.63 : 413,012.22 = 176,835.96 : x
  2. Step 2: Convert to fraction form
    299,323.63/413,012.22 = 176,835.96/x
  3. Step 3: Cross multiply
    299,323.63x = 413,012.22 × 176,835.96
  4. Step 4: Simplify right side
    299,323.63x = 73,035,411,752.30
  5. Step 5: Solve for x
    x = 73,035,411,752.30/299,323.63
  6. Step 6: Final answer
    x = 244,001.49

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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.