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Finding the Fourth Proportional to 401,465.56, 602,431.56 and 179,849.56

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Solution

The fourth proportional to 401,465.56, 602,431.56 and 179,849.56 is: 269,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,465.56 : 602,431.56 = 179,849.56 : x
  2. Step 2: Convert to fraction form
    401,465.56/602,431.56 = 179,849.56/x
  3. Step 3: Cross multiply
    401,465.56x = 602,431.56 × 179,849.56
  4. Step 4: Simplify right side
    401,465.56x = 108,347,050,996.11
  5. Step 5: Solve for x
    x = 108,347,050,996.11/401,465.56
  6. Step 6: Final answer
    x = 269,878.82

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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.