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Finding the Fourth Proportional to 532,536.41, 798,338.04 and 200,345.69

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Solution

The fourth proportional to 532,536.41, 798,338.04 and 200,345.69 is: 300,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,536.41 : 798,338.04 = 200,345.69 : x
  2. Step 2: Convert to fraction form
    532,536.41/798,338.04 = 200,345.69/x
  3. Step 3: Cross multiply
    532,536.41x = 798,338.04 × 200,345.69
  4. Step 4: Simplify right side
    532,536.41x = 159,943,581,485.36
  5. Step 5: Solve for x
    x = 159,943,581,485.36/532,536.41
  6. Step 6: Final answer
    x = 300,343.00

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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.