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Finding the Fourth Proportional to 397,878.45, 596,798.52 and 98,357.85

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Solution

The fourth proportional to 397,878.45, 596,798.52 and 98,357.85 is: 147,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,878.45 : 596,798.52 = 98,357.85 : x
  2. Step 2: Convert to fraction form
    397,878.45/596,798.52 = 98,357.85/x
  3. Step 3: Cross multiply
    397,878.45x = 596,798.52 × 98,357.85
  4. Step 4: Simplify right side
    397,878.45x = 58,699,819,310.38
  5. Step 5: Solve for x
    x = 58,699,819,310.38/397,878.45
  6. Step 6: Final answer
    x = 147,532.04

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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.