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Finding the Fourth Proportional to 535,285.50, 738,693.99 and 296,821.50

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Solution

The fourth proportional to 535,285.50, 738,693.99 and 296,821.50 is: 409,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,285.50 : 738,693.99 = 296,821.50 : x
  2. Step 2: Convert to fraction form
    535,285.50/738,693.99 = 296,821.50/x
  3. Step 3: Cross multiply
    535,285.50x = 738,693.99 × 296,821.50
  4. Step 4: Simplify right side
    535,285.50x = 219,260,258,152.79
  5. Step 5: Solve for x
    x = 219,260,258,152.79/535,285.50
  6. Step 6: Final answer
    x = 409,613.67

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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.