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Finding the Fourth Proportional to 382,611.10, 573,916.65 and 314,959.90

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Solution

The fourth proportional to 382,611.10, 573,916.65 and 314,959.90 is: 472,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,611.10 : 573,916.65 = 314,959.90 : x
  2. Step 2: Convert to fraction form
    382,611.10/573,916.65 = 314,959.90/x
  3. Step 3: Cross multiply
    382,611.10x = 573,916.65 × 314,959.90
  4. Step 4: Simplify right side
    382,611.10x = 180,760,730,692.34
  5. Step 5: Solve for x
    x = 180,760,730,692.34/382,611.10
  6. Step 6: Final answer
    x = 472,439.85

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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.