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Finding the Fourth Proportional to 526,035.42, 725,928.66 and 284,317.97

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Solution

The fourth proportional to 526,035.42, 725,928.66 and 284,317.97 is: 392,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,035.42 : 725,928.66 = 284,317.97 : x
  2. Step 2: Convert to fraction form
    526,035.42/725,928.66 = 284,317.97/x
  3. Step 3: Cross multiply
    526,035.42x = 725,928.66 × 284,317.97
  4. Step 4: Simplify right side
    526,035.42x = 206,394,559,346.38
  5. Step 5: Solve for x
    x = 206,394,559,346.38/526,035.42
  6. Step 6: Final answer
    x = 392,358.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.