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Finding the Fourth Proportional to 467,830.48, 645,604.92 and 252,969.88

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Solution

The fourth proportional to 467,830.48, 645,604.92 and 252,969.88 is: 349,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,830.48 : 645,604.92 = 252,969.88 : x
  2. Step 2: Convert to fraction form
    467,830.48/645,604.92 = 252,969.88/x
  3. Step 3: Cross multiply
    467,830.48x = 645,604.92 × 252,969.88
  4. Step 4: Simplify right side
    467,830.48x = 163,318,599,139.81
  5. Step 5: Solve for x
    x = 163,318,599,139.81/467,830.48
  6. Step 6: Final answer
    x = 349,097.82

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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.