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Finding the Fourth Proportional to 295,544.49, 407,854 and 168,228.28

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Solution

The fourth proportional to 295,544.49, 407,854 and 168,228.28 is: 232,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,544.49 : 407,854 = 168,228.28 : x
  2. Step 2: Convert to fraction form
    295,544.49/407,854 = 168,228.28/x
  3. Step 3: Cross multiply
    295,544.49x = 407,854 × 168,228.28
  4. Step 4: Simplify right side
    295,544.49x = 68,612,576,911.12
  5. Step 5: Solve for x
    x = 68,612,576,911.12/295,544.49
  6. Step 6: Final answer
    x = 232,156.51

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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.