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Finding the Fourth Proportional to 273,810.40, 410,974.80 and 168,834.40

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Solution

The fourth proportional to 273,810.40, 410,974.80 and 168,834.40 is: 253,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,810.40 : 410,974.80 = 168,834.40 : x
  2. Step 2: Convert to fraction form
    273,810.40/410,974.80 = 168,834.40/x
  3. Step 3: Cross multiply
    273,810.40x = 410,974.80 × 168,834.40
  4. Step 4: Simplify right side
    273,810.40x = 69,386,683,773.12
  5. Step 5: Solve for x
    x = 69,386,683,773.12/273,810.40
  6. Step 6: Final answer
    x = 253,411.43

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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.