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Finding the Fourth Proportional to 381,611.60, 572,482.20 and 204,070.40

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Solution

The fourth proportional to 381,611.60, 572,482.20 and 204,070.40 is: 306,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,611.60 : 572,482.20 = 204,070.40 : x
  2. Step 2: Convert to fraction form
    381,611.60/572,482.20 = 204,070.40/x
  3. Step 3: Cross multiply
    381,611.60x = 572,482.20 × 204,070.40
  4. Step 4: Simplify right side
    381,611.60x = 116,826,671,546.88
  5. Step 5: Solve for x
    x = 116,826,671,546.88/381,611.60
  6. Step 6: Final answer
    x = 306,140.25

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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.