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Finding the Fourth Proportional to 537,308.98, 805,964.01 and 200,344.48

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Solution

The fourth proportional to 537,308.98, 805,964.01 and 200,344.48 is: 300,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,308.98 : 805,964.01 = 200,344.48 : x
  2. Step 2: Convert to fraction form
    537,308.98/805,964.01 = 200,344.48/x
  3. Step 3: Cross multiply
    537,308.98x = 805,964.01 × 200,344.48
  4. Step 4: Simplify right side
    537,308.98x = 161,470,440,482.17
  5. Step 5: Solve for x
    x = 161,470,440,482.17/537,308.98
  6. Step 6: Final answer
    x = 300,516.92

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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.