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Finding the Fourth Proportional to 415,085.60, 622,628.40 and 205,133.60

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Solution

The fourth proportional to 415,085.60, 622,628.40 and 205,133.60 is: 307,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,085.60 : 622,628.40 = 205,133.60 : x
  2. Step 2: Convert to fraction form
    415,085.60/622,628.40 = 205,133.60/x
  3. Step 3: Cross multiply
    415,085.60x = 622,628.40 × 205,133.60
  4. Step 4: Simplify right side
    415,085.60x = 127,722,005,154.24
  5. Step 5: Solve for x
    x = 127,722,005,154.24/415,085.60
  6. Step 6: Final answer
    x = 307,700.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.