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Finding the Fourth Proportional to 332,814.42, 459,284.14 and 181,911.42

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Solution

The fourth proportional to 332,814.42, 459,284.14 and 181,911.42 is: 251,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,814.42 : 459,284.14 = 181,911.42 : x
  2. Step 2: Convert to fraction form
    332,814.42/459,284.14 = 181,911.42/x
  3. Step 3: Cross multiply
    332,814.42x = 459,284.14 × 181,911.42
  4. Step 4: Simplify right side
    332,814.42x = 83,549,030,090.88
  5. Step 5: Solve for x
    x = 83,549,030,090.88/332,814.42
  6. Step 6: Final answer
    x = 251,037.89

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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.