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Finding the Fourth Proportional to 380,830.95, 525,526.47 and 219,676.38

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Solution

The fourth proportional to 380,830.95, 525,526.47 and 219,676.38 is: 303,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,830.95 : 525,526.47 = 219,676.38 : x
  2. Step 2: Convert to fraction form
    380,830.95/525,526.47 = 219,676.38/x
  3. Step 3: Cross multiply
    380,830.95x = 525,526.47 × 219,676.38
  4. Step 4: Simplify right side
    380,830.95x = 115,445,752,523.78
  5. Step 5: Solve for x
    x = 115,445,752,523.78/380,830.95
  6. Step 6: Final answer
    x = 303,141.73

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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.