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Finding the Fourth Proportional to 475,585.12, 656,312.82 and 271,663

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Solution

The fourth proportional to 475,585.12, 656,312.82 and 271,663 is: 374,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,585.12 : 656,312.82 = 271,663 : x
  2. Step 2: Convert to fraction form
    475,585.12/656,312.82 = 271,663/x
  3. Step 3: Cross multiply
    475,585.12x = 656,312.82 × 271,663
  4. Step 4: Simplify right side
    475,585.12x = 178,295,909,619.66
  5. Step 5: Solve for x
    x = 178,295,909,619.66/475,585.12
  6. Step 6: Final answer
    x = 374,898.00

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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.