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Finding the Fourth Proportional to 298,441.86, 412,001.91 and 230,305.74

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Solution

The fourth proportional to 298,441.86, 412,001.91 and 230,305.74 is: 317,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,441.86 : 412,001.91 = 230,305.74 : x
  2. Step 2: Convert to fraction form
    298,441.86/412,001.91 = 230,305.74/x
  3. Step 3: Cross multiply
    298,441.86x = 412,001.91 × 230,305.74
  4. Step 4: Simplify right side
    298,441.86x = 94,886,404,763.96
  5. Step 5: Solve for x
    x = 94,886,404,763.96/298,441.86
  6. Step 6: Final answer
    x = 317,939.33

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1.5x scale

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.