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Finding the Fourth Proportional to 344,005.34, 474,743.12 and 191,044.22

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Solution

The fourth proportional to 344,005.34, 474,743.12 and 191,044.22 is: 263,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,005.34 : 474,743.12 = 191,044.22 : x
  2. Step 2: Convert to fraction form
    344,005.34/474,743.12 = 191,044.22/x
  3. Step 3: Cross multiply
    344,005.34x = 474,743.12 × 191,044.22
  4. Step 4: Simplify right side
    344,005.34x = 90,696,925,731.83
  5. Step 5: Solve for x
    x = 90,696,925,731.83/344,005.34
  6. Step 6: Final answer
    x = 263,649.77

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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.