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Finding the Fourth Proportional to 405,633.36, 559,770.48 and 224,358.56

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Solution

The fourth proportional to 405,633.36, 559,770.48 and 224,358.56 is: 309,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,633.36 : 559,770.48 = 224,358.56 : x
  2. Step 2: Convert to fraction form
    405,633.36/559,770.48 = 224,358.56/x
  3. Step 3: Cross multiply
    405,633.36x = 559,770.48 × 224,358.56
  4. Step 4: Simplify right side
    405,633.36x = 125,589,298,823.31
  5. Step 5: Solve for x
    x = 125,589,298,823.31/405,633.36
  6. Step 6: Final answer
    x = 309,612.85

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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.