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Finding the Fourth Proportional to 464,146.58, 696,255.52 and 197,908.50

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Solution

The fourth proportional to 464,146.58, 696,255.52 and 197,908.50 is: 296,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,146.58 : 696,255.52 = 197,908.50 : x
  2. Step 2: Convert to fraction form
    464,146.58/696,255.52 = 197,908.50/x
  3. Step 3: Cross multiply
    464,146.58x = 696,255.52 × 197,908.50
  4. Step 4: Simplify right side
    464,146.58x = 137,794,885,579.92
  5. Step 5: Solve for x
    x = 137,794,885,579.92/464,146.58
  6. Step 6: Final answer
    x = 296,877.95

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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.