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Finding the Fourth Proportional to 359,531.48, 496,136.84 and 206,461.98

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Solution

The fourth proportional to 359,531.48, 496,136.84 and 206,461.98 is: 284,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,531.48 : 496,136.84 = 206,461.98 : x
  2. Step 2: Convert to fraction form
    359,531.48/496,136.84 = 206,461.98/x
  3. Step 3: Cross multiply
    359,531.48x = 496,136.84 × 206,461.98
  4. Step 4: Simplify right side
    359,531.48x = 102,433,393,305.03
  5. Step 5: Solve for x
    x = 102,433,393,305.03/359,531.48
  6. Step 6: Final answer
    x = 284,908.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.