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Finding the Fourth Proportional to 343,050.80, 514,576.20 and 106,417.40

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Solution

The fourth proportional to 343,050.80, 514,576.20 and 106,417.40 is: 159,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,050.80 : 514,576.20 = 106,417.40 : x
  2. Step 2: Convert to fraction form
    343,050.80/514,576.20 = 106,417.40/x
  3. Step 3: Cross multiply
    343,050.80x = 514,576.20 × 106,417.40
  4. Step 4: Simplify right side
    343,050.80x = 54,759,861,305.88
  5. Step 5: Solve for x
    x = 54,759,861,305.88/343,050.80
  6. Step 6: Final answer
    x = 159,626.10

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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.