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Finding the Fourth Proportional to 537,066.40, 805,087.60 and 200,016.80

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Solution

The fourth proportional to 537,066.40, 805,087.60 and 200,016.80 is: 299,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,066.40 : 805,087.60 = 200,016.80 : x
  2. Step 2: Convert to fraction form
    537,066.40/805,087.60 = 200,016.80/x
  3. Step 3: Cross multiply
    537,066.40x = 805,087.60 × 200,016.80
  4. Step 4: Simplify right side
    537,066.40x = 161,031,045,471.68
  5. Step 5: Solve for x
    x = 161,031,045,471.68/537,066.40
  6. Step 6: Final answer
    x = 299,834.52

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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.