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Finding the Fourth Proportional to 300,886.58, 415,266.01 and 186,202.16

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Solution

The fourth proportional to 300,886.58, 415,266.01 and 186,202.16 is: 256,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,886.58 : 415,266.01 = 186,202.16 : x
  2. Step 2: Convert to fraction form
    300,886.58/415,266.01 = 186,202.16/x
  3. Step 3: Cross multiply
    300,886.58x = 415,266.01 × 186,202.16
  4. Step 4: Simplify right side
    300,886.58x = 77,323,428,036.58
  5. Step 5: Solve for x
    x = 77,323,428,036.58/300,886.58
  6. Step 6: Final answer
    x = 256,985.30

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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.