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Finding the Fourth Proportional to 467,903.52, 645,705 and 253,043.82

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Solution

The fourth proportional to 467,903.52, 645,705 and 253,043.82 is: 349,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,903.52 : 645,705 = 253,043.82 : x
  2. Step 2: Convert to fraction form
    467,903.52/645,705 = 253,043.82/x
  3. Step 3: Cross multiply
    467,903.52x = 645,705 × 253,043.82
  4. Step 4: Simplify right side
    467,903.52x = 163,391,659,793.10
  5. Step 5: Solve for x
    x = 163,391,659,793.10/467,903.52
  6. Step 6: Final answer
    x = 349,199.47

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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.