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Finding the Fourth Proportional to 653,105.70, 978,346.35 and 453,651.30

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Solution

The fourth proportional to 653,105.70, 978,346.35 and 453,651.30 is: 679,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,105.70 : 978,346.35 = 453,651.30 : x
  2. Step 2: Convert to fraction form
    653,105.70/978,346.35 = 453,651.30/x
  3. Step 3: Cross multiply
    653,105.70x = 978,346.35 × 453,651.30
  4. Step 4: Simplify right side
    653,105.70x = 443,828,093,527.76
  5. Step 5: Solve for x
    x = 443,828,093,527.76/653,105.70
  6. Step 6: Final answer
    x = 679,565.49

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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.