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Finding the Fourth Proportional to 526,214.34, 789,362.54 and 189,298.80

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Solution

The fourth proportional to 526,214.34, 789,362.54 and 189,298.80 is: 283,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,214.34 : 789,362.54 = 189,298.80 : x
  2. Step 2: Convert to fraction form
    526,214.34/789,362.54 = 189,298.80/x
  3. Step 3: Cross multiply
    526,214.34x = 789,362.54 × 189,298.80
  4. Step 4: Simplify right side
    526,214.34x = 149,425,381,586.95
  5. Step 5: Solve for x
    x = 149,425,381,586.95/526,214.34
  6. Step 6: Final answer
    x = 283,962.96

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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.