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Finding the Fourth Proportional to 405,382.33, 559,370.50 and 233,234.92

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Solution

The fourth proportional to 405,382.33, 559,370.50 and 233,234.92 is: 321,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,382.33 : 559,370.50 = 233,234.92 : x
  2. Step 2: Convert to fraction form
    405,382.33/559,370.50 = 233,234.92/x
  3. Step 3: Cross multiply
    405,382.33x = 559,370.50 × 233,234.92
  4. Step 4: Simplify right side
    405,382.33x = 130,464,733,817.86
  5. Step 5: Solve for x
    x = 130,464,733,817.86/405,382.33
  6. Step 6: Final answer
    x = 321,831.33

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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.