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Finding the Fourth Proportional to 469,903.97, 648,477.15 and 265,954.88

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Solution

The fourth proportional to 469,903.97, 648,477.15 and 265,954.88 is: 367,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,903.97 : 648,477.15 = 265,954.88 : x
  2. Step 2: Convert to fraction form
    469,903.97/648,477.15 = 265,954.88/x
  3. Step 3: Cross multiply
    469,903.97x = 648,477.15 × 265,954.88
  4. Step 4: Simplify right side
    469,903.97x = 172,465,662,610.99
  5. Step 5: Solve for x
    x = 172,465,662,610.99/469,903.97
  6. Step 6: Final answer
    x = 367,023.21

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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.