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Finding the Fourth Proportional to 314,658.99, 471,705.06 and 114,839.16

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Solution

The fourth proportional to 314,658.99, 471,705.06 and 114,839.16 is: 172,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,658.99 : 471,705.06 = 114,839.16 : x
  2. Step 2: Convert to fraction form
    314,658.99/471,705.06 = 114,839.16/x
  3. Step 3: Cross multiply
    314,658.99x = 471,705.06 × 114,839.16
  4. Step 4: Simplify right side
    314,658.99x = 54,170,212,858.15
  5. Step 5: Solve for x
    x = 54,170,212,858.15/314,658.99
  6. Step 6: Final answer
    x = 172,155.30

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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.