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Finding the Fourth Proportional to 586,876.32, 809,892.69 and 345,169.08

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Solution

The fourth proportional to 586,876.32, 809,892.69 and 345,169.08 is: 476,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,876.32 : 809,892.69 = 345,169.08 : x
  2. Step 2: Convert to fraction form
    586,876.32/809,892.69 = 345,169.08/x
  3. Step 3: Cross multiply
    586,876.32x = 809,892.69 × 345,169.08
  4. Step 4: Simplify right side
    586,876.32x = 279,549,914,706.03
  5. Step 5: Solve for x
    x = 279,549,914,706.03/586,876.32
  6. Step 6: Final answer
    x = 476,335.31

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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.