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Finding the Fourth Proportional to 978,378.30, 1,467,567.45 and 446,937.30

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Solution

The fourth proportional to 978,378.30, 1,467,567.45 and 446,937.30 is: 670,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,378.30 : 1,467,567.45 = 446,937.30 : x
  2. Step 2: Convert to fraction form
    978,378.30/1,467,567.45 = 446,937.30/x
  3. Step 3: Cross multiply
    978,378.30x = 1,467,567.45 × 446,937.30
  4. Step 4: Simplify right side
    978,378.30x = 655,910,633,670.89
  5. Step 5: Solve for x
    x = 655,910,633,670.89/978,378.30
  6. Step 6: Final answer
    x = 670,405.95

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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.