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Finding the Fourth Proportional to 405,371.23, 559,404.05 and 224,090.80

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Solution

The fourth proportional to 405,371.23, 559,404.05 and 224,090.80 is: 309,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,371.23 : 559,404.05 = 224,090.80 : x
  2. Step 2: Convert to fraction form
    405,371.23/559,404.05 = 224,090.80/x
  3. Step 3: Cross multiply
    405,371.23x = 559,404.05 × 224,090.80
  4. Step 4: Simplify right side
    405,371.23x = 125,357,298,568.78
  5. Step 5: Solve for x
    x = 125,357,298,568.78/405,371.23
  6. Step 6: Final answer
    x = 309,240.74

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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.