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Finding the Fourth Proportional to 467,986, 702,052.08 and 152,368.60

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Solution

The fourth proportional to 467,986, 702,052.08 and 152,368.60 is: 228,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,986 : 702,052.08 = 152,368.60 : x
  2. Step 2: Convert to fraction form
    467,986/702,052.08 = 152,368.60/x
  3. Step 3: Cross multiply
    467,986x = 702,052.08 × 152,368.60
  4. Step 4: Simplify right side
    467,986x = 106,970,692,556.69
  5. Step 5: Solve for x
    x = 106,970,692,556.69/467,986
  6. Step 6: Final answer
    x = 228,576.69

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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.