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Finding the Fourth Proportional to 353,946, 488,449.77 and 192,802.38

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Solution

The fourth proportional to 353,946, 488,449.77 and 192,802.38 is: 266,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,946 : 488,449.77 = 192,802.38 : x
  2. Step 2: Convert to fraction form
    353,946/488,449.77 = 192,802.38/x
  3. Step 3: Cross multiply
    353,946x = 488,449.77 × 192,802.38
  4. Step 4: Simplify right side
    353,946x = 94,174,278,166.45
  5. Step 5: Solve for x
    x = 94,174,278,166.45/353,946
  6. Step 6: Final answer
    x = 266,069.62

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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.