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Finding the Fourth Proportional to 492,339.42, 738,508.52 and 176,796.63

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Solution

The fourth proportional to 492,339.42, 738,508.52 and 176,796.63 is: 265,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,339.42 : 738,508.52 = 176,796.63 : x
  2. Step 2: Convert to fraction form
    492,339.42/738,508.52 = 176,796.63/x
  3. Step 3: Cross multiply
    492,339.42x = 738,508.52 × 176,796.63
  4. Step 4: Simplify right side
    492,339.42x = 130,565,818,004.28
  5. Step 5: Solve for x
    x = 130,565,818,004.28/492,339.42
  6. Step 6: Final answer
    x = 265,194.73

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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.