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Finding the Fourth Proportional to 319,932, 441,506.16 and 185,804.64

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Solution

The fourth proportional to 319,932, 441,506.16 and 185,804.64 is: 256,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,932 : 441,506.16 = 185,804.64 : x
  2. Step 2: Convert to fraction form
    319,932/441,506.16 = 185,804.64/x
  3. Step 3: Cross multiply
    319,932x = 441,506.16 × 185,804.64
  4. Step 4: Simplify right side
    319,932x = 82,033,893,116.58
  5. Step 5: Solve for x
    x = 82,033,893,116.58/319,932
  6. Step 6: Final answer
    x = 256,410.40

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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.