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Finding the Fourth Proportional to 492,498.50, 738,784.19 and 176,958.14

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Solution

The fourth proportional to 492,498.50, 738,784.19 and 176,958.14 is: 265,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,498.50 : 738,784.19 = 176,958.14 : x
  2. Step 2: Convert to fraction form
    492,498.50/738,784.19 = 176,958.14/x
  3. Step 3: Cross multiply
    492,498.50x = 738,784.19 × 176,958.14
  4. Step 4: Simplify right side
    492,498.50x = 130,733,872,872.28
  5. Step 5: Solve for x
    x = 130,733,872,872.28/492,498.50
  6. Step 6: Final answer
    x = 265,450.30

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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.