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Finding the Fourth Proportional to 359,797.50, 496,564.29 and 208,894.50

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Solution

The fourth proportional to 359,797.50, 496,564.29 and 208,894.50 is: 288,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,797.50 : 496,564.29 = 208,894.50 : x
  2. Step 2: Convert to fraction form
    359,797.50/496,564.29 = 208,894.50/x
  3. Step 3: Cross multiply
    359,797.50x = 496,564.29 × 208,894.50
  4. Step 4: Simplify right side
    359,797.50x = 103,729,549,077.41
  5. Step 5: Solve for x
    x = 103,729,549,077.41/359,797.50
  6. Step 6: Final answer
    x = 288,299.80

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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.