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Finding the Fourth Proportional to 359,812.80, 537,453.72 and 264,197.16

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Solution

The fourth proportional to 359,812.80, 537,453.72 and 264,197.16 is: 394,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,812.80 : 537,453.72 = 264,197.16 : x
  2. Step 2: Convert to fraction form
    359,812.80/537,453.72 = 264,197.16/x
  3. Step 3: Cross multiply
    359,812.80x = 537,453.72 × 264,197.16
  4. Step 4: Simplify right side
    359,812.80x = 141,993,746,455.44
  5. Step 5: Solve for x
    x = 141,993,746,455.44/359,812.80
  6. Step 6: Final answer
    x = 394,632.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.