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Finding the Fourth Proportional to 585,254.57, 878,135.18 and 206,445.51

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Solution

The fourth proportional to 585,254.57, 878,135.18 and 206,445.51 is: 309,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,254.57 : 878,135.18 = 206,445.51 : x
  2. Step 2: Convert to fraction form
    585,254.57/878,135.18 = 206,445.51/x
  3. Step 3: Cross multiply
    585,254.57x = 878,135.18 × 206,445.51
  4. Step 4: Simplify right side
    585,254.57x = 181,287,064,051.81
  5. Step 5: Solve for x
    x = 181,287,064,051.81/585,254.57
  6. Step 6: Final answer
    x = 309,757.62

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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.