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Finding the Fourth Proportional to 537,293.88, 805,935.96 and 200,323.08

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Solution

The fourth proportional to 537,293.88, 805,935.96 and 200,323.08 is: 300,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,293.88 : 805,935.96 = 200,323.08 : x
  2. Step 2: Convert to fraction form
    537,293.88/805,935.96 = 200,323.08/x
  3. Step 3: Cross multiply
    537,293.88x = 805,935.96 × 200,323.08
  4. Step 4: Simplify right side
    537,293.88x = 161,447,573,789.96
  5. Step 5: Solve for x
    x = 161,447,573,789.96/537,293.88
  6. Step 6: Final answer
    x = 300,482.81

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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.