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Finding the Fourth Proportional to 364,582.80, 545,999.40 and 177,375.60

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Solution

The fourth proportional to 364,582.80, 545,999.40 and 177,375.60 is: 265,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,582.80 : 545,999.40 = 177,375.60 : x
  2. Step 2: Convert to fraction form
    364,582.80/545,999.40 = 177,375.60/x
  3. Step 3: Cross multiply
    364,582.80x = 545,999.40 × 177,375.60
  4. Step 4: Simplify right side
    364,582.80x = 96,846,971,174.64
  5. Step 5: Solve for x
    x = 96,846,971,174.64/364,582.80
  6. Step 6: Final answer
    x = 265,637.80

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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.