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Finding the Fourth Proportional to 306,405.14, 422,851.10 and 185,477.99

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Solution

The fourth proportional to 306,405.14, 422,851.10 and 185,477.99 is: 255,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,405.14 : 422,851.10 = 185,477.99 : x
  2. Step 2: Convert to fraction form
    306,405.14/422,851.10 = 185,477.99/x
  3. Step 3: Cross multiply
    306,405.14x = 422,851.10 × 185,477.99
  4. Step 4: Simplify right side
    306,405.14x = 78,429,569,055.64
  5. Step 5: Solve for x
    x = 78,429,569,055.64/306,405.14
  6. Step 6: Final answer
    x = 255,966.89

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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.