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Finding the Fourth Proportional to 491,833.07, 737,775.75 and 154,900.07

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Solution

The fourth proportional to 491,833.07, 737,775.75 and 154,900.07 is: 232,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,833.07 : 737,775.75 = 154,900.07 : x
  2. Step 2: Convert to fraction form
    491,833.07/737,775.75 = 154,900.07/x
  3. Step 3: Cross multiply
    491,833.07x = 737,775.75 × 154,900.07
  4. Step 4: Simplify right side
    491,833.07x = 114,281,511,630.42
  5. Step 5: Solve for x
    x = 114,281,511,630.42/491,833.07
  6. Step 6: Final answer
    x = 232,358.33

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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.