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Finding the Fourth Proportional to 358,146.90, 537,505.48 and 200,345.94

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Solution

The fourth proportional to 358,146.90, 537,505.48 and 200,345.94 is: 300,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,146.90 : 537,505.48 = 200,345.94 : x
  2. Step 2: Convert to fraction form
    358,146.90/537,505.48 = 200,345.94/x
  3. Step 3: Cross multiply
    358,146.90x = 537,505.48 × 200,345.94
  4. Step 4: Simplify right side
    358,146.90x = 107,687,040,645.75
  5. Step 5: Solve for x
    x = 107,687,040,645.75/358,146.90
  6. Step 6: Final answer
    x = 300,678.41

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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.