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Finding the Fourth Proportional to 589,341.90, 813,297.42 and 334,694.94

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Solution

The fourth proportional to 589,341.90, 813,297.42 and 334,694.94 is: 461,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,341.90 : 813,297.42 = 334,694.94 : x
  2. Step 2: Convert to fraction form
    589,341.90/813,297.42 = 334,694.94/x
  3. Step 3: Cross multiply
    589,341.90x = 813,297.42 × 334,694.94
  4. Step 4: Simplify right side
    589,341.90x = 272,206,531,189.06
  5. Step 5: Solve for x
    x = 272,206,531,189.06/589,341.90
  6. Step 6: Final answer
    x = 461,882.20

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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.