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Finding the Fourth Proportional to 499,470.84, 749,218.41 and 162,512.46

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Solution

The fourth proportional to 499,470.84, 749,218.41 and 162,512.46 is: 243,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,470.84 : 749,218.41 = 162,512.46 : x
  2. Step 2: Convert to fraction form
    499,470.84/749,218.41 = 162,512.46/x
  3. Step 3: Cross multiply
    499,470.84x = 749,218.41 × 162,512.46
  4. Step 4: Simplify right side
    499,470.84x = 121,757,326,886.39
  5. Step 5: Solve for x
    x = 121,757,326,886.39/499,470.84
  6. Step 6: Final answer
    x = 243,772.64

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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.