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Finding the Fourth Proportional to 411,308.65, 567,634.86 and 230,037.45

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Solution

The fourth proportional to 411,308.65, 567,634.86 and 230,037.45 is: 317,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,308.65 : 567,634.86 = 230,037.45 : x
  2. Step 2: Convert to fraction form
    411,308.65/567,634.86 = 230,037.45/x
  3. Step 3: Cross multiply
    411,308.65x = 567,634.86 × 230,037.45
  4. Step 4: Simplify right side
    411,308.65x = 130,577,275,725.51
  5. Step 5: Solve for x
    x = 130,577,275,725.51/411,308.65
  6. Step 6: Final answer
    x = 317,467.86

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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.