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Finding the Fourth Proportional to 405,549.94, 559,662.54 and 224,274.07

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Solution

The fourth proportional to 405,549.94, 559,662.54 and 224,274.07 is: 309,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,549.94 : 559,662.54 = 224,274.07 : x
  2. Step 2: Convert to fraction form
    405,549.94/559,662.54 = 224,274.07/x
  3. Step 3: Cross multiply
    405,549.94x = 559,662.54 × 224,274.07
  4. Step 4: Simplify right side
    405,549.94x = 125,517,795,672.34
  5. Step 5: Solve for x
    x = 125,517,795,672.34/405,549.94
  6. Step 6: Final answer
    x = 309,500.22

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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.