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Finding the Fourth Proportional to 341,702.90, 512,554.35 and 304,961.30

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Solution

The fourth proportional to 341,702.90, 512,554.35 and 304,961.30 is: 457,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,702.90 : 512,554.35 = 304,961.30 : x
  2. Step 2: Convert to fraction form
    341,702.90/512,554.35 = 304,961.30/x
  3. Step 3: Cross multiply
    341,702.90x = 512,554.35 × 304,961.30
  4. Step 4: Simplify right side
    341,702.90x = 156,309,240,896.66
  5. Step 5: Solve for x
    x = 156,309,240,896.66/341,702.90
  6. Step 6: Final answer
    x = 457,441.95

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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.