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Finding the Fourth Proportional to 405,855.81, 560,081.67 and 224,575.38

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Solution

The fourth proportional to 405,855.81, 560,081.67 and 224,575.38 is: 309,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,855.81 : 560,081.67 = 224,575.38 : x
  2. Step 2: Convert to fraction form
    405,855.81/560,081.67 = 224,575.38/x
  3. Step 3: Cross multiply
    405,855.81x = 560,081.67 × 224,575.38
  4. Step 4: Simplify right side
    405,855.81x = 125,780,553,871.29
  5. Step 5: Solve for x
    x = 125,780,553,871.29/405,855.81
  6. Step 6: Final answer
    x = 309,914.39

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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.