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Finding the Fourth Proportional to 469,354.98, 647,705.76 and 265,446.06

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Solution

The fourth proportional to 469,354.98, 647,705.76 and 265,446.06 is: 366,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,354.98 : 647,705.76 = 265,446.06 : x
  2. Step 2: Convert to fraction form
    469,354.98/647,705.76 = 265,446.06/x
  3. Step 3: Cross multiply
    469,354.98x = 647,705.76 × 265,446.06
  4. Step 4: Simplify right side
    469,354.98x = 171,930,942,031.31
  5. Step 5: Solve for x
    x = 171,930,942,031.31/469,354.98
  6. Step 6: Final answer
    x = 366,313.24

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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.