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Finding the Fourth Proportional to 359,968.24, 496,761.42 and 209,065.24

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Solution

The fourth proportional to 359,968.24, 496,761.42 and 209,065.24 is: 288,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,968.24 : 496,761.42 = 209,065.24 : x
  2. Step 2: Convert to fraction form
    359,968.24/496,761.42 = 209,065.24/x
  3. Step 3: Cross multiply
    359,968.24x = 496,761.42 × 209,065.24
  4. Step 4: Simplify right side
    359,968.24x = 103,855,545,495.04
  5. Step 5: Solve for x
    x = 103,855,545,495.04/359,968.24
  6. Step 6: Final answer
    x = 288,513.08

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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.