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Finding the Fourth Proportional to 401,133.26, 601,894.50 and 176,464.50

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Solution

The fourth proportional to 401,133.26, 601,894.50 and 176,464.50 is: 264,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,133.26 : 601,894.50 = 176,464.50 : x
  2. Step 2: Convert to fraction form
    401,133.26/601,894.50 = 176,464.50/x
  3. Step 3: Cross multiply
    401,133.26x = 601,894.50 × 176,464.50
  4. Step 4: Simplify right side
    401,133.26x = 106,213,008,985.78
  5. Step 5: Solve for x
    x = 106,213,008,985.78/401,133.26
  6. Step 6: Final answer
    x = 264,782.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.