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Finding the Fourth Proportional to 507,249.73, 761,206.56 and 191,706.67

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Solution

The fourth proportional to 507,249.73, 761,206.56 and 191,706.67 is: 287,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,249.73 : 761,206.56 = 191,706.67 : x
  2. Step 2: Convert to fraction form
    507,249.73/761,206.56 = 191,706.67/x
  3. Step 3: Cross multiply
    507,249.73x = 761,206.56 × 191,706.67
  4. Step 4: Simplify right side
    507,249.73x = 145,928,374,799.76
  5. Step 5: Solve for x
    x = 145,928,374,799.76/507,249.73
  6. Step 6: Final answer
    x = 287,685.47

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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.