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Finding the Fourth Proportional to 423,694.83, 584,696.86 and 230,101.19

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Solution

The fourth proportional to 423,694.83, 584,696.86 and 230,101.19 is: 317,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,694.83 : 584,696.86 = 230,101.19 : x
  2. Step 2: Convert to fraction form
    423,694.83/584,696.86 = 230,101.19/x
  3. Step 3: Cross multiply
    423,694.83x = 584,696.86 × 230,101.19
  4. Step 4: Simplify right side
    423,694.83x = 134,539,439,776.53
  5. Step 5: Solve for x
    x = 134,539,439,776.53/423,694.83
  6. Step 6: Final answer
    x = 317,538.54

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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.