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Finding the Fourth Proportional to 456,090.63, 629,459.82 and 265,104.06

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Solution

The fourth proportional to 456,090.63, 629,459.82 and 265,104.06 is: 365,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,090.63 : 629,459.82 = 265,104.06 : x
  2. Step 2: Convert to fraction form
    456,090.63/629,459.82 = 265,104.06/x
  3. Step 3: Cross multiply
    456,090.63x = 629,459.82 × 265,104.06
  4. Step 4: Simplify right side
    456,090.63x = 166,872,353,888.87
  5. Step 5: Solve for x
    x = 166,872,353,888.87/456,090.63
  6. Step 6: Final answer
    x = 365,875.43

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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.