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Finding the Fourth Proportional to 602,076.37, 902,482.38 and 202,578.46

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Solution

The fourth proportional to 602,076.37, 902,482.38 and 202,578.46 is: 303,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,076.37 : 902,482.38 = 202,578.46 : x
  2. Step 2: Convert to fraction form
    602,076.37/902,482.38 = 202,578.46/x
  3. Step 3: Cross multiply
    602,076.37x = 902,482.38 × 202,578.46
  4. Step 4: Simplify right side
    602,076.37x = 182,823,490,717.54
  5. Step 5: Solve for x
    x = 182,823,490,717.54/602,076.37
  6. Step 6: Final answer
    x = 303,654.98

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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.