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Finding the Fourth Proportional to 653,031.70, 978,235.35 and 440,455.30

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Solution

The fourth proportional to 653,031.70, 978,235.35 and 440,455.30 is: 659,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,031.70 : 978,235.35 = 440,455.30 : x
  2. Step 2: Convert to fraction form
    653,031.70/978,235.35 = 440,455.30/x
  3. Step 3: Cross multiply
    653,031.70x = 978,235.35 × 440,455.30
  4. Step 4: Simplify right side
    653,031.70x = 430,868,944,554.86
  5. Step 5: Solve for x
    x = 430,868,944,554.86/653,031.70
  6. Step 6: Final answer
    x = 659,797.90

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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.