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Finding the Fourth Proportional to 304,854.72, 420,714.60 and 183,994.08

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Solution

The fourth proportional to 304,854.72, 420,714.60 and 183,994.08 is: 253,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,854.72 : 420,714.60 = 183,994.08 : x
  2. Step 2: Convert to fraction form
    304,854.72/420,714.60 = 183,994.08/x
  3. Step 3: Cross multiply
    304,854.72x = 420,714.60 × 183,994.08
  4. Step 4: Simplify right side
    304,854.72x = 77,408,995,769.57
  5. Step 5: Solve for x
    x = 77,408,995,769.57/304,854.72
  6. Step 6: Final answer
    x = 253,920.94

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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.