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Finding the Fourth Proportional to 532,526.78, 798,323.60 and 200,336.06

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Solution

The fourth proportional to 532,526.78, 798,323.60 and 200,336.06 is: 300,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,526.78 : 798,323.60 = 200,336.06 : x
  2. Step 2: Convert to fraction form
    532,526.78/798,323.60 = 200,336.06/x
  3. Step 3: Cross multiply
    532,526.78x = 798,323.60 × 200,336.06
  4. Step 4: Simplify right side
    532,526.78x = 159,933,004,629.02
  5. Step 5: Solve for x
    x = 159,933,004,629.02/532,526.78
  6. Step 6: Final answer
    x = 300,328.57

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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.