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Finding the Fourth Proportional to 416,314.53, 574,502.47 and 232,548.21

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Solution

The fourth proportional to 416,314.53, 574,502.47 and 232,548.21 is: 320,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,314.53 : 574,502.47 = 232,548.21 : x
  2. Step 2: Convert to fraction form
    416,314.53/574,502.47 = 232,548.21/x
  3. Step 3: Cross multiply
    416,314.53x = 574,502.47 × 232,548.21
  4. Step 4: Simplify right side
    416,314.53x = 133,599,521,039.08
  5. Step 5: Solve for x
    x = 133,599,521,039.08/416,314.53
  6. Step 6: Final answer
    x = 320,910.06

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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.