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Finding the Fourth Proportional to 514,407.48, 771,611.31 and 214,724.58

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Solution

The fourth proportional to 514,407.48, 771,611.31 and 214,724.58 is: 322,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,407.48 : 771,611.31 = 214,724.58 : x
  2. Step 2: Convert to fraction form
    514,407.48/771,611.31 = 214,724.58/x
  3. Step 3: Cross multiply
    514,407.48x = 771,611.31 × 214,724.58
  4. Step 4: Simplify right side
    514,407.48x = 165,683,914,463.00
  5. Step 5: Solve for x
    x = 165,683,914,463.00/514,407.48
  6. Step 6: Final answer
    x = 322,086.91

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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.