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Finding the Fourth Proportional to 647,110.40, 970,492.80 and 197,830.40

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Solution

The fourth proportional to 647,110.40, 970,492.80 and 197,830.40 is: 296,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,110.40 : 970,492.80 = 197,830.40 : x
  2. Step 2: Convert to fraction form
    647,110.40/970,492.80 = 197,830.40/x
  3. Step 3: Cross multiply
    647,110.40x = 970,492.80 × 197,830.40
  4. Step 4: Simplify right side
    647,110.40x = 191,992,978,821.12
  5. Step 5: Solve for x
    x = 191,992,978,821.12/647,110.40
  6. Step 6: Final answer
    x = 296,692.77

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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.