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Finding the Fourth Proportional to 446,294.88, 669,442.80 and 313,767.84

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Solution

The fourth proportional to 446,294.88, 669,442.80 and 313,767.84 is: 470,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,294.88 : 669,442.80 = 313,767.84 : x
  2. Step 2: Convert to fraction form
    446,294.88/669,442.80 = 313,767.84/x
  3. Step 3: Cross multiply
    446,294.88x = 669,442.80 × 313,767.84
  4. Step 4: Simplify right side
    446,294.88x = 210,049,621,359.55
  5. Step 5: Solve for x
    x = 210,049,621,359.55/446,294.88
  6. Step 6: Final answer
    x = 470,652.10

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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.