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Finding the Fourth Proportional to 446,664.96, 670,041.24 and 147,023.28

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Solution

The fourth proportional to 446,664.96, 670,041.24 and 147,023.28 is: 220,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,664.96 : 670,041.24 = 147,023.28 : x
  2. Step 2: Convert to fraction form
    446,664.96/670,041.24 = 147,023.28/x
  3. Step 3: Cross multiply
    446,664.96x = 670,041.24 × 147,023.28
  4. Step 4: Simplify right side
    446,664.96x = 98,511,660,840.07
  5. Step 5: Solve for x
    x = 98,511,660,840.07/446,664.96
  6. Step 6: Final answer
    x = 220,549.34

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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.