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Finding the Fourth Proportional to 586,879.32, 809,896.83 and 345,172.08

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Solution

The fourth proportional to 586,879.32, 809,896.83 and 345,172.08 is: 476,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,879.32 : 809,896.83 = 345,172.08 : x
  2. Step 2: Convert to fraction form
    586,879.32/809,896.83 = 345,172.08/x
  3. Step 3: Cross multiply
    586,879.32x = 809,896.83 × 345,172.08
  4. Step 4: Simplify right side
    586,879.32x = 279,553,773,396.51
  5. Step 5: Solve for x
    x = 279,553,773,396.51/586,879.32
  6. Step 6: Final answer
    x = 476,339.45

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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.