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Finding the Fourth Proportional to 343,584.31, 514,953.64 and 163,764.31

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Solution

The fourth proportional to 343,584.31, 514,953.64 and 163,764.31 is: 245,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,584.31 : 514,953.64 = 163,764.31 : x
  2. Step 2: Convert to fraction form
    343,584.31/514,953.64 = 163,764.31/x
  3. Step 3: Cross multiply
    343,584.31x = 514,953.64 × 163,764.31
  4. Step 4: Simplify right side
    343,584.31x = 84,331,027,536.59
  5. Step 5: Solve for x
    x = 84,331,027,536.59/343,584.31
  6. Step 6: Final answer
    x = 245,444.93

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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.