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Finding the Fourth Proportional to 405,297.56, 559,339.59 and 224,005.59

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Solution

The fourth proportional to 405,297.56, 559,339.59 and 224,005.59 is: 309,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,297.56 : 559,339.59 = 224,005.59 : x
  2. Step 2: Convert to fraction form
    405,297.56/559,339.59 = 224,005.59/x
  3. Step 3: Cross multiply
    405,297.56x = 559,339.59 × 224,005.59
  4. Step 4: Simplify right side
    405,297.56x = 125,295,194,868.31
  5. Step 5: Solve for x
    x = 125,295,194,868.31/405,297.56
  6. Step 6: Final answer
    x = 309,143.72

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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.