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Finding the Fourth Proportional to 446,950.89, 670,446.98 and 147,457.64

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Solution

The fourth proportional to 446,950.89, 670,446.98 and 147,457.64 is: 221,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,950.89 : 670,446.98 = 147,457.64 : x
  2. Step 2: Convert to fraction form
    446,950.89/670,446.98 = 147,457.64/x
  3. Step 3: Cross multiply
    446,950.89x = 670,446.98 × 147,457.64
  4. Step 4: Simplify right side
    446,950.89x = 98,862,531,460.69
  5. Step 5: Solve for x
    x = 98,862,531,460.69/446,950.89
  6. Step 6: Final answer
    x = 221,193.28

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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.