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Finding the Fourth Proportional to 397,856.91, 596,779.49 and 98,337.52

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Solution

The fourth proportional to 397,856.91, 596,779.49 and 98,337.52 is: 147,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,856.91 : 596,779.49 = 98,337.52 : x
  2. Step 2: Convert to fraction form
    397,856.91/596,779.49 = 98,337.52/x
  3. Step 3: Cross multiply
    397,856.91x = 596,779.49 × 98,337.52
  4. Step 4: Simplify right side
    397,856.91x = 58,685,815,033.46
  5. Step 5: Solve for x
    x = 58,685,815,033.46/397,856.91
  6. Step 6: Final answer
    x = 147,504.83

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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.