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Finding the Fourth Proportional to 469,952.40, 648,532.11 and 255,090.60

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Solution

The fourth proportional to 469,952.40, 648,532.11 and 255,090.60 is: 352,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,952.40 : 648,532.11 = 255,090.60 : x
  2. Step 2: Convert to fraction form
    469,952.40/648,532.11 = 255,090.60/x
  3. Step 3: Cross multiply
    469,952.40x = 648,532.11 × 255,090.60
  4. Step 4: Simplify right side
    469,952.40x = 165,434,445,059.17
  5. Step 5: Solve for x
    x = 165,434,445,059.17/469,952.40
  6. Step 6: Final answer
    x = 352,023.83

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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.