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Finding the Fourth Proportional to 389,046.34, 536,873.25 and 216,969.54

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Solution

The fourth proportional to 389,046.34, 536,873.25 and 216,969.54 is: 299,412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,046.34 : 536,873.25 = 216,969.54 : x
  2. Step 2: Convert to fraction form
    389,046.34/536,873.25 = 216,969.54/x
  3. Step 3: Cross multiply
    389,046.34x = 536,873.25 × 216,969.54
  4. Step 4: Simplify right side
    389,046.34x = 116,485,142,090.81
  5. Step 5: Solve for x
    x = 116,485,142,090.81/389,046.34
  6. Step 6: Final answer
    x = 299,412.00

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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.