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Finding the Fourth Proportional to 343,265.40, 514,946.70 and 106,583.40

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Solution

The fourth proportional to 343,265.40, 514,946.70 and 106,583.40 is: 159,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,265.40 : 514,946.70 = 106,583.40 : x
  2. Step 2: Convert to fraction form
    343,265.40/514,946.70 = 106,583.40/x
  3. Step 3: Cross multiply
    343,265.40x = 514,946.70 × 106,583.40
  4. Step 4: Simplify right side
    343,265.40x = 54,884,770,104.78
  5. Step 5: Solve for x
    x = 54,884,770,104.78/343,265.40
  6. Step 6: Final answer
    x = 159,890.19

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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.