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Finding the Fourth Proportional to 301,858.28, 416,547.44 and 180,939.04

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Solution

The fourth proportional to 301,858.28, 416,547.44 and 180,939.04 is: 249,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,858.28 : 416,547.44 = 180,939.04 : x
  2. Step 2: Convert to fraction form
    301,858.28/416,547.44 = 180,939.04/x
  3. Step 3: Cross multiply
    301,858.28x = 416,547.44 × 180,939.04
  4. Step 4: Simplify right side
    301,858.28x = 75,369,693,908.06
  5. Step 5: Solve for x
    x = 75,369,693,908.06/301,858.28
  6. Step 6: Final answer
    x = 249,685.69

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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.