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Finding the Fourth Proportional to 405,443.09, 559,523.15 and 224,166.73

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Solution

The fourth proportional to 405,443.09, 559,523.15 and 224,166.73 is: 309,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,443.09 : 559,523.15 = 224,166.73 : x
  2. Step 2: Convert to fraction form
    405,443.09/559,523.15 = 224,166.73/x
  3. Step 3: Cross multiply
    405,443.09x = 559,523.15 × 224,166.73
  4. Step 4: Simplify right side
    405,443.09x = 125,426,474,894.80
  5. Step 5: Solve for x
    x = 125,426,474,894.80/405,443.09
  6. Step 6: Final answer
    x = 309,356.55

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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.