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Finding the Fourth Proportional to 405,523.63, 559,616.77 and 224,231.57

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Solution

The fourth proportional to 405,523.63, 559,616.77 and 224,231.57 is: 309,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,523.63 : 559,616.77 = 224,231.57 : x
  2. Step 2: Convert to fraction form
    405,523.63/559,616.77 = 224,231.57/x
  3. Step 3: Cross multiply
    405,523.63x = 559,616.77 × 224,231.57
  4. Step 4: Simplify right side
    405,523.63x = 125,483,746,935.43
  5. Step 5: Solve for x
    x = 125,483,746,935.43/405,523.63
  6. Step 6: Final answer
    x = 309,436.34

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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.