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Finding the Fourth Proportional to 382,762.54, 528,306.05 and 296,551

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Solution

The fourth proportional to 382,762.54, 528,306.05 and 296,551 is: 409,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,762.54 : 528,306.05 = 296,551 : x
  2. Step 2: Convert to fraction form
    382,762.54/528,306.05 = 296,551/x
  3. Step 3: Cross multiply
    382,762.54x = 528,306.05 × 296,551
  4. Step 4: Simplify right side
    382,762.54x = 156,669,687,433.55
  5. Step 5: Solve for x
    x = 156,669,687,433.55/382,762.54
  6. Step 6: Final answer
    x = 409,313.01

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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.