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Finding the Fourth Proportional to 476,696.30, 657,845.64 and 258,909.23

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Solution

The fourth proportional to 476,696.30, 657,845.64 and 258,909.23 is: 357,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,696.30 : 657,845.64 = 258,909.23 : x
  2. Step 2: Convert to fraction form
    476,696.30/657,845.64 = 258,909.23/x
  3. Step 3: Cross multiply
    476,696.30x = 657,845.64 × 258,909.23
  4. Step 4: Simplify right side
    476,696.30x = 170,322,308,111.26
  5. Step 5: Solve for x
    x = 170,322,308,111.26/476,696.30
  6. Step 6: Final answer
    x = 357,297.32

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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.