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Finding the Fourth Proportional to 405,546.27, 559,605 and 224,233.71

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Solution

The fourth proportional to 405,546.27, 559,605 and 224,233.71 is: 309,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,546.27 : 559,605 = 224,233.71 : x
  2. Step 2: Convert to fraction form
    405,546.27/559,605 = 224,233.71/x
  3. Step 3: Cross multiply
    405,546.27x = 559,605 × 224,233.71
  4. Step 4: Simplify right side
    405,546.27x = 125,482,305,284.55
  5. Step 5: Solve for x
    x = 125,482,305,284.55/405,546.27
  6. Step 6: Final answer
    x = 309,415.51

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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.