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Finding the Fourth Proportional to 490,871.46, 736,268.24 and 175,295.46

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Solution

The fourth proportional to 490,871.46, 736,268.24 and 175,295.46 is: 262,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,871.46 : 736,268.24 = 175,295.46 : x
  2. Step 2: Convert to fraction form
    490,871.46/736,268.24 = 175,295.46/x
  3. Step 3: Cross multiply
    490,871.46x = 736,268.24 × 175,295.46
  4. Step 4: Simplify right side
    490,871.46x = 129,064,479,814.19
  5. Step 5: Solve for x
    x = 129,064,479,814.19/490,871.46
  6. Step 6: Final answer
    x = 262,929.28

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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.