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Finding the Fourth Proportional to 492,043.80, 738,195.30 and 176,467.80

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Solution

The fourth proportional to 492,043.80, 738,195.30 and 176,467.80 is: 264,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,043.80 : 738,195.30 = 176,467.80 : x
  2. Step 2: Convert to fraction form
    492,043.80/738,195.30 = 176,467.80/x
  3. Step 3: Cross multiply
    492,043.80x = 738,195.30 × 176,467.80
  4. Step 4: Simplify right side
    492,043.80x = 130,267,700,561.34
  5. Step 5: Solve for x
    x = 130,267,700,561.34/492,043.80
  6. Step 6: Final answer
    x = 264,748.18

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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.