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Finding the Fourth Proportional to 316,896.49, 475,304.64 and 103,646.17

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Solution

The fourth proportional to 316,896.49, 475,304.64 and 103,646.17 is: 155,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,896.49 : 475,304.64 = 103,646.17 : x
  2. Step 2: Convert to fraction form
    316,896.49/475,304.64 = 103,646.17/x
  3. Step 3: Cross multiply
    316,896.49x = 475,304.64 × 103,646.17
  4. Step 4: Simplify right side
    316,896.49x = 49,263,505,519.23
  5. Step 5: Solve for x
    x = 49,263,505,519.23/316,896.49
  6. Step 6: Final answer
    x = 155,456.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.