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Finding the Fourth Proportional to 411,309.65, 567,636.24 and 230,038.46

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Solution

The fourth proportional to 411,309.65, 567,636.24 and 230,038.46 is: 317,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,309.65 : 567,636.24 = 230,038.46 : x
  2. Step 2: Convert to fraction form
    411,309.65/567,636.24 = 230,038.46/x
  3. Step 3: Cross multiply
    411,309.65x = 567,636.24 × 230,038.46
  4. Step 4: Simplify right side
    411,309.65x = 130,578,163,651.61
  5. Step 5: Solve for x
    x = 130,578,163,651.61/411,309.65
  6. Step 6: Final answer
    x = 317,469.25

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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.