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Finding the Fourth Proportional to 653,000.70, 978,188.85 and 440,424.30

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Solution

The fourth proportional to 653,000.70, 978,188.85 and 440,424.30 is: 659,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,000.70 : 978,188.85 = 440,424.30 : x
  2. Step 2: Convert to fraction form
    653,000.70/978,188.85 = 440,424.30/x
  3. Step 3: Cross multiply
    653,000.70x = 978,188.85 × 440,424.30
  4. Step 4: Simplify right side
    653,000.70x = 430,818,139,529.06
  5. Step 5: Solve for x
    x = 430,818,139,529.06/653,000.70
  6. Step 6: Final answer
    x = 659,751.42

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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.