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Finding the Fourth Proportional to 304,902.38, 420,528.34 and 208,184.03

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Solution

The fourth proportional to 304,902.38, 420,528.34 and 208,184.03 is: 287,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,902.38 : 420,528.34 = 208,184.03 : x
  2. Step 2: Convert to fraction form
    304,902.38/420,528.34 = 208,184.03/x
  3. Step 3: Cross multiply
    304,902.38x = 420,528.34 × 208,184.03
  4. Step 4: Simplify right side
    304,902.38x = 87,547,284,550.41
  5. Step 5: Solve for x
    x = 87,547,284,550.41/304,902.38
  6. Step 6: Final answer
    x = 287,132.18

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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.