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Finding the Fourth Proportional to 305,423.82, 458,150.13 and 252,016.74

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Solution

The fourth proportional to 305,423.82, 458,150.13 and 252,016.74 is: 378,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,423.82 : 458,150.13 = 252,016.74 : x
  2. Step 2: Convert to fraction form
    305,423.82/458,150.13 = 252,016.74/x
  3. Step 3: Cross multiply
    305,423.82x = 458,150.13 × 252,016.74
  4. Step 4: Simplify right side
    305,423.82x = 115,461,502,193.18
  5. Step 5: Solve for x
    x = 115,461,502,193.18/305,423.82
  6. Step 6: Final answer
    x = 378,036.99

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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.