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Finding the Fourth Proportional to 359,932.50, 496,706.89 and 209,039.22

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Solution

The fourth proportional to 359,932.50, 496,706.89 and 209,039.22 is: 288,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,932.50 : 496,706.89 = 209,039.22 : x
  2. Step 2: Convert to fraction form
    359,932.50/496,706.89 = 209,039.22/x
  3. Step 3: Cross multiply
    359,932.50x = 496,706.89 × 209,039.22
  4. Step 4: Simplify right side
    359,932.50x = 103,831,220,854.23
  5. Step 5: Solve for x
    x = 103,831,220,854.23/359,932.50
  6. Step 6: Final answer
    x = 288,474.15

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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.