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Finding the Fourth Proportional to 302,918.47, 418,010.44 and 166,952.01

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Solution

The fourth proportional to 302,918.47, 418,010.44 and 166,952.01 is: 230,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,918.47 : 418,010.44 = 166,952.01 : x
  2. Step 2: Convert to fraction form
    302,918.47/418,010.44 = 166,952.01/x
  3. Step 3: Cross multiply
    302,918.47x = 418,010.44 × 166,952.01
  4. Step 4: Simplify right side
    302,918.47x = 69,787,683,158.98
  5. Step 5: Solve for x
    x = 69,787,683,158.98/302,918.47
  6. Step 6: Final answer
    x = 230,384.38

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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.