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Finding the Fourth Proportional to 446,479.46, 669,811.44 and 146,978.01

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Solution

The fourth proportional to 446,479.46, 669,811.44 and 146,978.01 is: 220,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,479.46 : 669,811.44 = 146,978.01 : x
  2. Step 2: Convert to fraction form
    446,479.46/669,811.44 = 146,978.01/x
  3. Step 3: Cross multiply
    446,479.46x = 669,811.44 × 146,978.01
  4. Step 4: Simplify right side
    446,479.46x = 98,447,552,526.43
  5. Step 5: Solve for x
    x = 98,447,552,526.43/446,479.46
  6. Step 6: Final answer
    x = 220,497.39

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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.