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Finding the Fourth Proportional to 413,676.86, 570,873.75 and 234,828.86

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Solution

The fourth proportional to 413,676.86, 570,873.75 and 234,828.86 is: 324,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,676.86 : 570,873.75 = 234,828.86 : x
  2. Step 2: Convert to fraction form
    413,676.86/570,873.75 = 234,828.86/x
  3. Step 3: Cross multiply
    413,676.86x = 570,873.75 × 234,828.86
  4. Step 4: Simplify right side
    413,676.86x = 134,057,631,916.43
  5. Step 5: Solve for x
    x = 134,057,631,916.43/413,676.86
  6. Step 6: Final answer
    x = 324,063.65

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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.