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Finding the Fourth Proportional to 298,306.36, 411,664.54 and 162,341.38

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Solution

The fourth proportional to 298,306.36, 411,664.54 and 162,341.38 is: 224,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,306.36 : 411,664.54 = 162,341.38 : x
  2. Step 2: Convert to fraction form
    298,306.36/411,664.54 = 162,341.38/x
  3. Step 3: Cross multiply
    298,306.36x = 411,664.54 × 162,341.38
  4. Step 4: Simplify right side
    298,306.36x = 66,830,189,520.67
  5. Step 5: Solve for x
    x = 66,830,189,520.67/298,306.36
  6. Step 6: Final answer
    x = 224,032.06

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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.