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Finding the Fourth Proportional to 471,238.38, 650,701.36 and 437,047.74

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Solution

The fourth proportional to 471,238.38, 650,701.36 and 437,047.74 is: 603,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,238.38 : 650,701.36 = 437,047.74 : x
  2. Step 2: Convert to fraction form
    471,238.38/650,701.36 = 437,047.74/x
  3. Step 3: Cross multiply
    471,238.38x = 650,701.36 × 437,047.74
  4. Step 4: Simplify right side
    471,238.38x = 284,387,558,802.93
  5. Step 5: Solve for x
    x = 284,387,558,802.93/471,238.38
  6. Step 6: Final answer
    x = 603,489.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.