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Finding the Fourth Proportional to 453,922, 680,501.85 and 197,563.12

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Solution

The fourth proportional to 453,922, 680,501.85 and 197,563.12 is: 296,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,922 : 680,501.85 = 197,563.12 : x
  2. Step 2: Convert to fraction form
    453,922/680,501.85 = 197,563.12/x
  3. Step 3: Cross multiply
    453,922x = 680,501.85 × 197,563.12
  4. Step 4: Simplify right side
    453,922x = 134,442,068,651.77
  5. Step 5: Solve for x
    x = 134,442,068,651.77/453,922
  6. Step 6: Final answer
    x = 296,178.79

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1.5x scale

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.