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Finding the Fourth Proportional to 507,799.92, 761,780.46 and 204,193.28

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Solution

The fourth proportional to 507,799.92, 761,780.46 and 204,193.28 is: 306,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,799.92 : 761,780.46 = 204,193.28 : x
  2. Step 2: Convert to fraction form
    507,799.92/761,780.46 = 204,193.28/x
  3. Step 3: Cross multiply
    507,799.92x = 761,780.46 × 204,193.28
  4. Step 4: Simplify right side
    507,799.92x = 155,550,450,767.31
  5. Step 5: Solve for x
    x = 155,550,450,767.31/507,799.92
  6. Step 6: Final answer
    x = 306,322.32

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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.