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Finding the Fourth Proportional to 401,359.80, 601,748.10 and 164,580.60

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Solution

The fourth proportional to 401,359.80, 601,748.10 and 164,580.60 is: 246,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,359.80 : 601,748.10 = 164,580.60 : x
  2. Step 2: Convert to fraction form
    401,359.80/601,748.10 = 164,580.60/x
  3. Step 3: Cross multiply
    401,359.80x = 601,748.10 × 164,580.60
  4. Step 4: Simplify right side
    401,359.80x = 99,036,063,346.86
  5. Step 5: Solve for x
    x = 99,036,063,346.86/401,359.80
  6. Step 6: Final answer
    x = 246,751.33

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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.