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Finding the Fourth Proportional to 537,314.65, 805,598.31 and 200,264.81

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Solution

The fourth proportional to 537,314.65, 805,598.31 and 200,264.81 is: 300,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,314.65 : 805,598.31 = 200,264.81 : x
  2. Step 2: Convert to fraction form
    537,314.65/805,598.31 = 200,264.81/x
  3. Step 3: Cross multiply
    537,314.65x = 805,598.31 × 200,264.81
  4. Step 4: Simplify right side
    537,314.65x = 161,332,988,084.98
  5. Step 5: Solve for x
    x = 161,332,988,084.98/537,314.65
  6. Step 6: Final answer
    x = 300,257.94

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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.