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Finding the Fourth Proportional to 384,531.90, 576,567.45 and 197,907.90

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Solution

The fourth proportional to 384,531.90, 576,567.45 and 197,907.90 is: 296,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,531.90 : 576,567.45 = 197,907.90 : x
  2. Step 2: Convert to fraction form
    384,531.90/576,567.45 = 197,907.90/x
  3. Step 3: Cross multiply
    384,531.90x = 576,567.45 × 197,907.90
  4. Step 4: Simplify right side
    384,531.90x = 114,107,253,237.86
  5. Step 5: Solve for x
    x = 114,107,253,237.86/384,531.90
  6. Step 6: Final answer
    x = 296,743.27

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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.