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Finding the Fourth Proportional to 397,856.91, 596,779.50 and 98,337.51

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Solution

The fourth proportional to 397,856.91, 596,779.50 and 98,337.51 is: 147,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,856.91 : 596,779.50 = 98,337.51 : x
  2. Step 2: Convert to fraction form
    397,856.91/596,779.50 = 98,337.51/x
  3. Step 3: Cross multiply
    397,856.91x = 596,779.50 × 98,337.51
  4. Step 4: Simplify right side
    397,856.91x = 58,685,810,049.05
  5. Step 5: Solve for x
    x = 58,685,810,049.05/397,856.91
  6. Step 6: Final answer
    x = 147,504.82

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