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Finding the Fourth Proportional to 413,771.74, 570,969.66 and 232,469.44

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Solution

The fourth proportional to 413,771.74, 570,969.66 and 232,469.44 is: 320,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,771.74 : 570,969.66 = 232,469.44 : x
  2. Step 2: Convert to fraction form
    413,771.74/570,969.66 = 232,469.44/x
  3. Step 3: Cross multiply
    413,771.74x = 570,969.66 × 232,469.44
  4. Step 4: Simplify right side
    413,771.74x = 132,732,997,117.19
  5. Step 5: Solve for x
    x = 132,732,997,117.19/413,771.74
  6. Step 6: Final answer
    x = 320,787.97

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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.