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Finding the Fourth Proportional to 397,381.80, 596,072.70 and 172,849.80

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Solution

The fourth proportional to 397,381.80, 596,072.70 and 172,849.80 is: 259,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,381.80 : 596,072.70 = 172,849.80 : x
  2. Step 2: Convert to fraction form
    397,381.80/596,072.70 = 172,849.80/x
  3. Step 3: Cross multiply
    397,381.80x = 596,072.70 × 172,849.80
  4. Step 4: Simplify right side
    397,381.80x = 103,031,046,980.46
  5. Step 5: Solve for x
    x = 103,031,046,980.46/397,381.80
  6. Step 6: Final answer
    x = 259,274.70

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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.