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Finding the Fourth Proportional to 397,871.68, 596,827.35 and 113,604.40

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Solution

The fourth proportional to 397,871.68, 596,827.35 and 113,604.40 is: 170,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,871.68 : 596,827.35 = 113,604.40 : x
  2. Step 2: Convert to fraction form
    397,871.68/596,827.35 = 113,604.40/x
  3. Step 3: Cross multiply
    397,871.68x = 596,827.35 × 113,604.40
  4. Step 4: Simplify right side
    397,871.68x = 67,802,211,508.65
  5. Step 5: Solve for x
    x = 67,802,211,508.65/397,871.68
  6. Step 6: Final answer
    x = 170,412.26

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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.