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Finding the Fourth Proportional to 374,615.68, 516,969.84 and 204,865.60

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Solution

The fourth proportional to 374,615.68, 516,969.84 and 204,865.60 is: 282,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,615.68 : 516,969.84 = 204,865.60 : x
  2. Step 2: Convert to fraction form
    374,615.68/516,969.84 = 204,865.60/x
  3. Step 3: Cross multiply
    374,615.68x = 516,969.84 × 204,865.60
  4. Step 4: Simplify right side
    374,615.68x = 105,909,336,453.50
  5. Step 5: Solve for x
    x = 105,909,336,453.50/374,615.68
  6. Step 6: Final answer
    x = 282,714.64

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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.