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Finding the Fourth Proportional to 471,200.80, 705,634.80 and 302,461.60

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Solution

The fourth proportional to 471,200.80, 705,634.80 and 302,461.60 is: 452,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,200.80 : 705,634.80 = 302,461.60 : x
  2. Step 2: Convert to fraction form
    471,200.80/705,634.80 = 302,461.60/x
  3. Step 3: Cross multiply
    471,200.80x = 705,634.80 × 302,461.60
  4. Step 4: Simplify right side
    471,200.80x = 213,427,430,623.68
  5. Step 5: Solve for x
    x = 213,427,430,623.68/471,200.80
  6. Step 6: Final answer
    x = 452,943.69

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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.