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Finding the Fourth Proportional to 386,706.96, 533,647.58 and 214,614.93

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Solution

The fourth proportional to 386,706.96, 533,647.58 and 214,614.93 is: 296,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,706.96 : 533,647.58 = 214,614.93 : x
  2. Step 2: Convert to fraction form
    386,706.96/533,647.58 = 214,614.93/x
  3. Step 3: Cross multiply
    386,706.96x = 533,647.58 × 214,614.93
  4. Step 4: Simplify right side
    386,706.96x = 114,528,739,109.44
  5. Step 5: Solve for x
    x = 114,528,739,109.44/386,706.96
  6. Step 6: Final answer
    x = 296,164.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.