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Finding the Fourth Proportional to 405,636.25, 559,756.05 and 224,337.60

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Solution

The fourth proportional to 405,636.25, 559,756.05 and 224,337.60 is: 309,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,636.25 : 559,756.05 = 224,337.60 : x
  2. Step 2: Convert to fraction form
    405,636.25/559,756.05 = 224,337.60/x
  3. Step 3: Cross multiply
    405,636.25x = 559,756.05 × 224,337.60
  4. Step 4: Simplify right side
    405,636.25x = 125,574,324,922.01
  5. Step 5: Solve for x
    x = 125,574,324,922.01/405,636.25
  6. Step 6: Final answer
    x = 309,573.73

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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.