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Finding the Fourth Proportional to 469,325.17, 647,664.81 and 265,416.12

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Solution

The fourth proportional to 469,325.17, 647,664.81 and 265,416.12 is: 366,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,325.17 : 647,664.81 = 265,416.12 : x
  2. Step 2: Convert to fraction form
    469,325.17/647,664.81 = 265,416.12/x
  3. Step 3: Cross multiply
    469,325.17x = 647,664.81 × 265,416.12
  4. Step 4: Simplify right side
    469,325.17x = 171,900,680,930.74
  5. Step 5: Solve for x
    x = 171,900,680,930.74/469,325.17
  6. Step 6: Final answer
    x = 366,272.03

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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.