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Finding the Fourth Proportional to 411,371.66, 567,681.54 and 230,083.94

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Solution

The fourth proportional to 411,371.66, 567,681.54 and 230,083.94 is: 317,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,371.66 : 567,681.54 = 230,083.94 : x
  2. Step 2: Convert to fraction form
    411,371.66/567,681.54 = 230,083.94/x
  3. Step 3: Cross multiply
    411,371.66x = 567,681.54 × 230,083.94
  4. Step 4: Simplify right side
    411,371.66x = 130,614,405,388.47
  5. Step 5: Solve for x
    x = 130,614,405,388.47/411,371.66
  6. Step 6: Final answer
    x = 317,509.49

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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.