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Finding the Fourth Proportional to 397,382.34, 596,074.72 and 97,869.98

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Solution

The fourth proportional to 397,382.34, 596,074.72 and 97,869.98 is: 146,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,382.34 : 596,074.72 = 97,869.98 : x
  2. Step 2: Convert to fraction form
    397,382.34/596,074.72 = 97,869.98/x
  3. Step 3: Cross multiply
    397,382.34x = 596,074.72 × 97,869.98
  4. Step 4: Simplify right side
    397,382.34x = 58,337,820,924.91
  5. Step 5: Solve for x
    x = 58,337,820,924.91/397,382.34
  6. Step 6: Final answer
    x = 146,805.27

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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.