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Finding the Fourth Proportional to 314,617.77, 471,744.40 and 214,898.47

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Solution

The fourth proportional to 314,617.77, 471,744.40 and 214,898.47 is: 322,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,617.77 : 471,744.40 = 214,898.47 : x
  2. Step 2: Convert to fraction form
    314,617.77/471,744.40 = 214,898.47/x
  3. Step 3: Cross multiply
    314,617.77x = 471,744.40 × 214,898.47
  4. Step 4: Simplify right side
    314,617.77x = 101,377,149,791.07
  5. Step 5: Solve for x
    x = 101,377,149,791.07/314,617.77
  6. Step 6: Final answer
    x = 322,223.22

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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.