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Finding the Fourth Proportional to 411,483.82, 567,821.01 and 230,164.66

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Solution

The fourth proportional to 411,483.82, 567,821.01 and 230,164.66 is: 317,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,483.82 : 567,821.01 = 230,164.66 : x
  2. Step 2: Convert to fraction form
    411,483.82/567,821.01 = 230,164.66/x
  3. Step 3: Cross multiply
    411,483.82x = 567,821.01 × 230,164.66
  4. Step 4: Simplify right side
    411,483.82x = 130,692,329,707.51
  5. Step 5: Solve for x
    x = 130,692,329,707.51/411,483.82
  6. Step 6: Final answer
    x = 317,612.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.