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Finding the Fourth Proportional to 400,556.34, 601,041.60 and 176,074.38

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Solution

The fourth proportional to 400,556.34, 601,041.60 and 176,074.38 is: 264,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,556.34 : 601,041.60 = 176,074.38 : x
  2. Step 2: Convert to fraction form
    400,556.34/601,041.60 = 176,074.38/x
  3. Step 3: Cross multiply
    400,556.34x = 601,041.60 × 176,074.38
  4. Step 4: Simplify right side
    400,556.34x = 105,828,027,074.21
  5. Step 5: Solve for x
    x = 105,828,027,074.21/400,556.34
  6. Step 6: Final answer
    x = 264,202.60

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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.