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Finding the Fourth Proportional to 315,096.30, 472,644.45 and 275,730.30

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Solution

The fourth proportional to 315,096.30, 472,644.45 and 275,730.30 is: 413,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,096.30 : 472,644.45 = 275,730.30 : x
  2. Step 2: Convert to fraction form
    315,096.30/472,644.45 = 275,730.30/x
  3. Step 3: Cross multiply
    315,096.30x = 472,644.45 × 275,730.30
  4. Step 4: Simplify right side
    315,096.30x = 130,322,395,991.84
  5. Step 5: Solve for x
    x = 130,322,395,991.84/315,096.30
  6. Step 6: Final answer
    x = 413,595.45

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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.