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Finding the Fourth Proportional to 492,085.20, 738,127.80 and 450,094.80

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Solution

The fourth proportional to 492,085.20, 738,127.80 and 450,094.80 is: 675,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,085.20 : 738,127.80 = 450,094.80 : x
  2. Step 2: Convert to fraction form
    492,085.20/738,127.80 = 450,094.80/x
  3. Step 3: Cross multiply
    492,085.20x = 738,127.80 × 450,094.80
  4. Step 4: Simplify right side
    492,085.20x = 332,227,484,515.44
  5. Step 5: Solve for x
    x = 332,227,484,515.44/492,085.20
  6. Step 6: Final answer
    x = 675,142.20

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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.