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Finding the Fourth Proportional to 476,180.97, 657,159.26 and 314,756.07

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Solution

The fourth proportional to 476,180.97, 657,159.26 and 314,756.07 is: 434,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,180.97 : 657,159.26 = 314,756.07 : x
  2. Step 2: Convert to fraction form
    476,180.97/657,159.26 = 314,756.07/x
  3. Step 3: Cross multiply
    476,180.97x = 657,159.26 × 314,756.07
  4. Step 4: Simplify right side
    476,180.97x = 206,844,863,774.08
  5. Step 5: Solve for x
    x = 206,844,863,774.08/476,180.97
  6. Step 6: Final answer
    x = 434,382.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.