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Finding the Fourth Proportional to 314,394.30, 471,661.02 and 114,714.11

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Solution

The fourth proportional to 314,394.30, 471,661.02 and 114,714.11 is: 172,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,394.30 : 471,661.02 = 114,714.11 : x
  2. Step 2: Convert to fraction form
    314,394.30/471,661.02 = 114,714.11/x
  3. Step 3: Cross multiply
    314,394.30x = 471,661.02 × 114,714.11
  4. Step 4: Simplify right side
    314,394.30x = 54,106,171,772.69
  5. Step 5: Solve for x
    x = 54,106,171,772.69/314,394.30
  6. Step 6: Final answer
    x = 172,096.54

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Why These Related Problems?

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