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Finding the Fourth Proportional to 465,048.60, 696,536.10 and 382,104.60

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Solution

The fourth proportional to 465,048.60, 696,536.10 and 382,104.60 is: 572,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,048.60 : 696,536.10 = 382,104.60 : x
  2. Step 2: Convert to fraction form
    465,048.60/696,536.10 = 382,104.60/x
  3. Step 3: Cross multiply
    465,048.60x = 696,536.10 × 382,104.60
  4. Step 4: Simplify right side
    465,048.60x = 266,149,647,876.06
  5. Step 5: Solve for x
    x = 266,149,647,876.06/465,048.60
  6. Step 6: Final answer
    x = 572,305.02

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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.