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Finding the Fourth Proportional to 397,609.74, 596,411.82 and 160,948.98

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Solution

The fourth proportional to 397,609.74, 596,411.82 and 160,948.98 is: 241,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,609.74 : 596,411.82 = 160,948.98 : x
  2. Step 2: Convert to fraction form
    397,609.74/596,411.82 = 160,948.98/x
  3. Step 3: Cross multiply
    397,609.74x = 596,411.82 × 160,948.98
  4. Step 4: Simplify right side
    397,609.74x = 95,991,874,088.94
  5. Step 5: Solve for x
    x = 95,991,874,088.94/397,609.74
  6. Step 6: Final answer
    x = 241,422.34

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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.