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Finding the Fourth Proportional to 301,676.68, 416,289.54 and 174,360.52

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Solution

The fourth proportional to 301,676.68, 416,289.54 and 174,360.52 is: 240,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,676.68 : 416,289.54 = 174,360.52 : x
  2. Step 2: Convert to fraction form
    301,676.68/416,289.54 = 174,360.52/x
  3. Step 3: Cross multiply
    301,676.68x = 416,289.54 × 174,360.52
  4. Step 4: Simplify right side
    301,676.68x = 72,584,460,664.96
  5. Step 5: Solve for x
    x = 72,584,460,664.96/301,676.68
  6. Step 6: Final answer
    x = 240,603.49

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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.