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Finding the Fourth Proportional to 405,830.66, 560,046.96 and 224,550.23

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Solution

The fourth proportional to 405,830.66, 560,046.96 and 224,550.23 is: 309,879.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,830.66 : 560,046.96 = 224,550.23 : x
  2. Step 2: Convert to fraction form
    405,830.66/560,046.96 = 224,550.23/x
  3. Step 3: Cross multiply
    405,830.66x = 560,046.96 × 224,550.23
  4. Step 4: Simplify right side
    405,830.66x = 125,758,670,878.57
  5. Step 5: Solve for x
    x = 125,758,670,878.57/405,830.66
  6. Step 6: Final answer
    x = 309,879.67

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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.