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Finding the Fourth Proportional to 405,649.51, 559,837.17 and 224,375.24

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Solution

The fourth proportional to 405,649.51, 559,837.17 and 224,375.24 is: 309,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,649.51 : 559,837.17 = 224,375.24 : x
  2. Step 2: Convert to fraction form
    405,649.51/559,837.17 = 224,375.24/x
  3. Step 3: Cross multiply
    405,649.51x = 559,837.17 × 224,375.24
  4. Step 4: Simplify right side
    405,649.51x = 125,613,600,779.26
  5. Step 5: Solve for x
    x = 125,613,600,779.26/405,649.51
  6. Step 6: Final answer
    x = 309,660.43

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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.