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Finding the Fourth Proportional to 521,852.40, 783,037.80 and 206,319.60

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Solution

The fourth proportional to 521,852.40, 783,037.80 and 206,319.60 is: 309,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,852.40 : 783,037.80 = 206,319.60 : x
  2. Step 2: Convert to fraction form
    521,852.40/783,037.80 = 206,319.60/x
  3. Step 3: Cross multiply
    521,852.40x = 783,037.80 × 206,319.60
  4. Step 4: Simplify right side
    521,852.40x = 161,556,045,680.88
  5. Step 5: Solve for x
    x = 161,556,045,680.88/521,852.40
  6. Step 6: Final answer
    x = 309,581.88

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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.