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Finding the Fourth Proportional to 304,206.48, 419,700.96 and 183,302.28

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Solution

The fourth proportional to 304,206.48, 419,700.96 and 183,302.28 is: 252,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,206.48 : 419,700.96 = 183,302.28 : x
  2. Step 2: Convert to fraction form
    304,206.48/419,700.96 = 183,302.28/x
  3. Step 3: Cross multiply
    304,206.48x = 419,700.96 × 183,302.28
  4. Step 4: Simplify right side
    304,206.48x = 76,932,142,886.19
  5. Step 5: Solve for x
    x = 76,932,142,886.19/304,206.48
  6. Step 6: Final answer
    x = 252,894.49

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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.