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Finding the Fourth Proportional to 456,101.89, 629,459.30 and 265,102.88

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Solution

The fourth proportional to 456,101.89, 629,459.30 and 265,102.88 is: 365,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,101.89 : 629,459.30 = 265,102.88 : x
  2. Step 2: Convert to fraction form
    456,101.89/629,459.30 = 265,102.88/x
  3. Step 3: Cross multiply
    456,101.89x = 629,459.30 × 265,102.88
  4. Step 4: Simplify right side
    456,101.89x = 166,871,470,788.25
  5. Step 5: Solve for x
    x = 166,871,470,788.25/456,101.89
  6. Step 6: Final answer
    x = 365,864.46

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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.