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Finding the Fourth Proportional to 343,019.64, 514,584 and 106,313.34

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Solution

The fourth proportional to 343,019.64, 514,584 and 106,313.34 is: 159,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,019.64 : 514,584 = 106,313.34 : x
  2. Step 2: Convert to fraction form
    343,019.64/514,584 = 106,313.34/x
  3. Step 3: Cross multiply
    343,019.64x = 514,584 × 106,313.34
  4. Step 4: Simplify right side
    343,019.64x = 54,707,143,750.56
  5. Step 5: Solve for x
    x = 54,707,143,750.56/343,019.64
  6. Step 6: Final answer
    x = 159,486.91

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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.