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Finding the Fourth Proportional to 301,526.10, 416,076.54 and 174,198.96

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Solution

The fourth proportional to 301,526.10, 416,076.54 and 174,198.96 is: 240,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,526.10 : 416,076.54 = 174,198.96 : x
  2. Step 2: Convert to fraction form
    301,526.10/416,076.54 = 174,198.96/x
  3. Step 3: Cross multiply
    301,526.10x = 416,076.54 × 174,198.96
  4. Step 4: Simplify right side
    301,526.10x = 72,480,100,548.40
  5. Step 5: Solve for x
    x = 72,480,100,548.40/301,526.10
  6. Step 6: Final answer
    x = 240,377.53

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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.