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Finding the Fourth Proportional to 297,714.86, 446,407.94 and 155,204.54

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Solution

The fourth proportional to 297,714.86, 446,407.94 and 155,204.54 is: 232,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,714.86 : 446,407.94 = 155,204.54 : x
  2. Step 2: Convert to fraction form
    297,714.86/446,407.94 = 155,204.54/x
  3. Step 3: Cross multiply
    297,714.86x = 446,407.94 × 155,204.54
  4. Step 4: Simplify right side
    297,714.86x = 69,284,538,980.05
  5. Step 5: Solve for x
    x = 69,284,538,980.05/297,714.86
  6. Step 6: Final answer
    x = 232,721.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.