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Finding the Fourth Proportional to 334,702.88, 461,775.93 and 213,913.85

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Solution

The fourth proportional to 334,702.88, 461,775.93 and 213,913.85 is: 295,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,702.88 : 461,775.93 = 213,913.85 : x
  2. Step 2: Convert to fraction form
    334,702.88/461,775.93 = 213,913.85/x
  3. Step 3: Cross multiply
    334,702.88x = 461,775.93 × 213,913.85
  4. Step 4: Simplify right side
    334,702.88x = 98,780,267,023.63
  5. Step 5: Solve for x
    x = 98,780,267,023.63/334,702.88
  6. Step 6: Final answer
    x = 295,128.23

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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.