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Finding the Fourth Proportional to 305,065.89, 457,569.68 and 186,676.29

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Solution

The fourth proportional to 305,065.89, 457,569.68 and 186,676.29 is: 279,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,065.89 : 457,569.68 = 186,676.29 : x
  2. Step 2: Convert to fraction form
    305,065.89/457,569.68 = 186,676.29/x
  3. Step 3: Cross multiply
    305,065.89x = 457,569.68 × 186,676.29
  4. Step 4: Simplify right side
    305,065.89x = 85,417,409,345.51
  5. Step 5: Solve for x
    x = 85,417,409,345.51/305,065.89
  6. Step 6: Final answer
    x = 279,996.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.