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Finding the Fourth Proportional to 359,846.25, 496,631.61 and 208,943.25

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Solution

The fourth proportional to 359,846.25, 496,631.61 and 208,943.25 is: 288,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,846.25 : 496,631.61 = 208,943.25 : x
  2. Step 2: Convert to fraction form
    359,846.25/496,631.61 = 208,943.25/x
  3. Step 3: Cross multiply
    359,846.25x = 496,631.61 × 208,943.25
  4. Step 4: Simplify right side
    359,846.25x = 103,767,822,646.13
  5. Step 5: Solve for x
    x = 103,767,822,646.13/359,846.25
  6. Step 6: Final answer
    x = 288,367.11

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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.