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Finding the Fourth Proportional to 413,411.08, 620,181.60 and 176,755

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Solution

The fourth proportional to 413,411.08, 620,181.60 and 176,755 is: 265,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,411.08 : 620,181.60 = 176,755 : x
  2. Step 2: Convert to fraction form
    413,411.08/620,181.60 = 176,755/x
  3. Step 3: Cross multiply
    413,411.08x = 620,181.60 × 176,755
  4. Step 4: Simplify right side
    413,411.08x = 109,620,198,708
  5. Step 5: Solve for x
    x = 109,620,198,708/413,411.08
  6. Step 6: Final answer
    x = 265,160.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.