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Finding the Fourth Proportional to 295,547.49, 407,858.14 and 168,231.28

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Solution

The fourth proportional to 295,547.49, 407,858.14 and 168,231.28 is: 232,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,547.49 : 407,858.14 = 168,231.28 : x
  2. Step 2: Convert to fraction form
    295,547.49/407,858.14 = 168,231.28/x
  3. Step 3: Cross multiply
    295,547.49x = 407,858.14 × 168,231.28
  4. Step 4: Simplify right side
    295,547.49x = 68,614,496,950.62
  5. Step 5: Solve for x
    x = 68,614,496,950.62/295,547.49
  6. Step 6: Final answer
    x = 232,160.65

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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.