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Finding the Fourth Proportional to 359,985.64, 496,843.98 and 207,012.04

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Solution

The fourth proportional to 359,985.64, 496,843.98 and 207,012.04 is: 285,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,985.64 : 496,843.98 = 207,012.04 : x
  2. Step 2: Convert to fraction form
    359,985.64/496,843.98 = 207,012.04/x
  3. Step 3: Cross multiply
    359,985.64x = 496,843.98 × 207,012.04
  4. Step 4: Simplify right side
    359,985.64x = 102,852,685,861.52
  5. Step 5: Solve for x
    x = 102,852,685,861.52/359,985.64
  6. Step 6: Final answer
    x = 285,713.30

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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.