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Finding the Fourth Proportional to 415,101.63, 622,904.45 and 165,762.75

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Solution

The fourth proportional to 415,101.63, 622,904.45 and 165,762.75 is: 248,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,101.63 : 622,904.45 = 165,762.75 : x
  2. Step 2: Convert to fraction form
    415,101.63/622,904.45 = 165,762.75/x
  3. Step 3: Cross multiply
    415,101.63x = 622,904.45 × 165,762.75
  4. Step 4: Simplify right side
    415,101.63x = 103,254,353,790.42
  5. Step 5: Solve for x
    x = 103,254,353,790.42/415,101.63
  6. Step 6: Final answer
    x = 248,744.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.