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Finding the Fourth Proportional to 462,871.20, 639,014.16 and 301,824.48

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Solution

The fourth proportional to 462,871.20, 639,014.16 and 301,824.48 is: 416,682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,871.20 : 639,014.16 = 301,824.48 : x
  2. Step 2: Convert to fraction form
    462,871.20/639,014.16 = 301,824.48/x
  3. Step 3: Cross multiply
    462,871.20x = 639,014.16 × 301,824.48
  4. Step 4: Simplify right side
    462,871.20x = 192,870,116,554.64
  5. Step 5: Solve for x
    x = 192,870,116,554.64/462,871.20
  6. Step 6: Final answer
    x = 416,682.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.