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Finding the Fourth Proportional to 492,023.30, 738,164.55 and 176,447.30

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Solution

The fourth proportional to 492,023.30, 738,164.55 and 176,447.30 is: 264,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,023.30 : 738,164.55 = 176,447.30 : x
  2. Step 2: Convert to fraction form
    492,023.30/738,164.55 = 176,447.30/x
  3. Step 3: Cross multiply
    492,023.30x = 738,164.55 × 176,447.30
  4. Step 4: Simplify right side
    492,023.30x = 130,247,141,803.22
  5. Step 5: Solve for x
    x = 130,247,141,803.22/492,023.30
  6. Step 6: Final answer
    x = 264,717.43

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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.