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Finding the Fourth Proportional to 469,923.88, 648,477.57 and 255,059.38

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Solution

The fourth proportional to 469,923.88, 648,477.57 and 255,059.38 is: 351,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,923.88 : 648,477.57 = 255,059.38 : x
  2. Step 2: Convert to fraction form
    469,923.88/648,477.57 = 255,059.38/x
  3. Step 3: Cross multiply
    469,923.88x = 648,477.57 × 255,059.38
  4. Step 4: Simplify right side
    469,923.88x = 165,400,286,948.11
  5. Step 5: Solve for x
    x = 165,400,286,948.11/469,923.88
  6. Step 6: Final answer
    x = 351,972.51

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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.