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Finding the Fourth Proportional to 453,921, 680,500.35 and 197,562.12

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Solution

The fourth proportional to 453,921, 680,500.35 and 197,562.12 is: 296,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,921 : 680,500.35 = 197,562.12 : x
  2. Step 2: Convert to fraction form
    453,921/680,500.35 = 197,562.12/x
  3. Step 3: Cross multiply
    453,921x = 680,500.35 × 197,562.12
  4. Step 4: Simplify right side
    453,921x = 134,441,091,806.74
  5. Step 5: Solve for x
    x = 134,441,091,806.74/453,921
  6. Step 6: Final answer
    x = 296,177.29

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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.