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Finding the Fourth Proportional to 646,584.40, 969,876.70 and 197,307.64

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Solution

The fourth proportional to 646,584.40, 969,876.70 and 197,307.64 is: 295,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,584.40 : 969,876.70 = 197,307.64 : x
  2. Step 2: Convert to fraction form
    646,584.40/969,876.70 = 197,307.64/x
  3. Step 3: Cross multiply
    646,584.40x = 969,876.70 × 197,307.64
  4. Step 4: Simplify right side
    646,584.40x = 191,364,082,767.99
  5. Step 5: Solve for x
    x = 191,364,082,767.99/646,584.40
  6. Step 6: Final answer
    x = 295,961.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.