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Finding the Fourth Proportional to 416,971.49, 575,116.57 and 264,034.58

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Solution

The fourth proportional to 416,971.49, 575,116.57 and 264,034.58 is: 364,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,971.49 : 575,116.57 = 264,034.58 : x
  2. Step 2: Convert to fraction form
    416,971.49/575,116.57 = 264,034.58/x
  3. Step 3: Cross multiply
    416,971.49x = 575,116.57 × 264,034.58
  4. Step 4: Simplify right side
    416,971.49x = 151,850,662,010.99
  5. Step 5: Solve for x
    x = 151,850,662,010.99/416,971.49
  6. Step 6: Final answer
    x = 364,175.17

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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.