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Finding the Fourth Proportional to 491,980.40, 738,143.40 and 176,447.60

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Solution

The fourth proportional to 491,980.40, 738,143.40 and 176,447.60 is: 264,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,980.40 : 738,143.40 = 176,447.60 : x
  2. Step 2: Convert to fraction form
    491,980.40/738,143.40 = 176,447.60/x
  3. Step 3: Cross multiply
    491,980.40x = 738,143.40 × 176,447.60
  4. Step 4: Simplify right side
    491,980.40x = 130,243,631,385.84
  5. Step 5: Solve for x
    x = 130,243,631,385.84/491,980.40
  6. Step 6: Final answer
    x = 264,733.37

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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.