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Finding the Fourth Proportional to 413,617.41, 570,792.32 and 232,329.44

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Solution

The fourth proportional to 413,617.41, 570,792.32 and 232,329.44 is: 320,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,617.41 : 570,792.32 = 232,329.44 : x
  2. Step 2: Convert to fraction form
    413,617.41/570,792.32 = 232,329.44/x
  3. Step 3: Cross multiply
    413,617.41x = 570,792.32 × 232,329.44
  4. Step 4: Simplify right side
    413,617.41x = 132,611,857,788.76
  5. Step 5: Solve for x
    x = 132,611,857,788.76/413,617.41
  6. Step 6: Final answer
    x = 320,614.79

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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.