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Finding the Fourth Proportional to 298,537.86, 411,547.02 and 226,793.36

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Solution

The fourth proportional to 298,537.86, 411,547.02 and 226,793.36 is: 312,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,537.86 : 411,547.02 = 226,793.36 : x
  2. Step 2: Convert to fraction form
    298,537.86/411,547.02 = 226,793.36/x
  3. Step 3: Cross multiply
    298,537.86x = 411,547.02 × 226,793.36
  4. Step 4: Simplify right side
    298,537.86x = 93,336,131,463.79
  5. Step 5: Solve for x
    x = 93,336,131,463.79/298,537.86
  6. Step 6: Final answer
    x = 312,644.20

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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.