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Finding the Fourth Proportional to 428,801.48, 591,782.38 and 237,876.38

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Solution

The fourth proportional to 428,801.48, 591,782.38 and 237,876.38 is: 328,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,801.48 : 591,782.38 = 237,876.38 : x
  2. Step 2: Convert to fraction form
    428,801.48/591,782.38 = 237,876.38/x
  3. Step 3: Cross multiply
    428,801.48x = 591,782.38 × 237,876.38
  4. Step 4: Simplify right side
    428,801.48x = 140,771,050,302.18
  5. Step 5: Solve for x
    x = 140,771,050,302.18/428,801.48
  6. Step 6: Final answer
    x = 328,289.56

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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.