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Finding the Fourth Proportional to 314,377.10, 471,281.27 and 114,650.69

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Solution

The fourth proportional to 314,377.10, 471,281.27 and 114,650.69 is: 171,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,377.10 : 471,281.27 = 114,650.69 : x
  2. Step 2: Convert to fraction form
    314,377.10/471,281.27 = 114,650.69/x
  3. Step 3: Cross multiply
    314,377.10x = 471,281.27 × 114,650.69
  4. Step 4: Simplify right side
    314,377.10x = 54,032,722,216.32
  5. Step 5: Solve for x
    x = 54,032,722,216.32/314,377.10
  6. Step 6: Final answer
    x = 171,872.32

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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.