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Finding the Fourth Proportional to 446,997.60, 670,237.20 and 166,543.20

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Solution

The fourth proportional to 446,997.60, 670,237.20 and 166,543.20 is: 249,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,997.60 : 670,237.20 = 166,543.20 : x
  2. Step 2: Convert to fraction form
    446,997.60/670,237.20 = 166,543.20/x
  3. Step 3: Cross multiply
    446,997.60x = 670,237.20 × 166,543.20
  4. Step 4: Simplify right side
    446,997.60x = 111,623,448,047.04
  5. Step 5: Solve for x
    x = 111,623,448,047.04/446,997.60
  6. Step 6: Final answer
    x = 249,718.23

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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.