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Finding the Fourth Proportional to 523,073.55, 783,861.75 and 297,969.42

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Solution

The fourth proportional to 523,073.55, 783,861.75 and 297,969.42 is: 446,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,073.55 : 783,861.75 = 297,969.42 : x
  2. Step 2: Convert to fraction form
    523,073.55/783,861.75 = 297,969.42/x
  3. Step 3: Cross multiply
    523,073.55x = 783,861.75 × 297,969.42
  4. Step 4: Simplify right side
    523,073.55x = 233,566,831,007.69
  5. Step 5: Solve for x
    x = 233,566,831,007.69/523,073.55
  6. Step 6: Final answer
    x = 446,527.70

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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.