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Finding the Fourth Proportional to 333,090.24, 459,668.16 and 182,184

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Solution

The fourth proportional to 333,090.24, 459,668.16 and 182,184 is: 251,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,090.24 : 459,668.16 = 182,184 : x
  2. Step 2: Convert to fraction form
    333,090.24/459,668.16 = 182,184/x
  3. Step 3: Cross multiply
    333,090.24x = 459,668.16 × 182,184
  4. Step 4: Simplify right side
    333,090.24x = 83,744,184,061.44
  5. Step 5: Solve for x
    x = 83,744,184,061.44/333,090.24
  6. Step 6: Final answer
    x = 251,415.90

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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.