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Finding the Fourth Proportional to 492,195.68, 738,297.16 and 176,655.32

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Solution

The fourth proportional to 492,195.68, 738,297.16 and 176,655.32 is: 264,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,195.68 : 738,297.16 = 176,655.32 : x
  2. Step 2: Convert to fraction form
    492,195.68/738,297.16 = 176,655.32/x
  3. Step 3: Cross multiply
    492,195.68x = 738,297.16 × 176,655.32
  4. Step 4: Simplify right side
    492,195.68x = 130,424,121,054.89
  5. Step 5: Solve for x
    x = 130,424,121,054.89/492,195.68
  6. Step 6: Final answer
    x = 264,984.29

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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.