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Finding the Fourth Proportional to 386,706.95, 533,647.56 and 214,614.92

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Solution

The fourth proportional to 386,706.95, 533,647.56 and 214,614.92 is: 296,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,706.95 : 533,647.56 = 214,614.92 : x
  2. Step 2: Convert to fraction form
    386,706.95/533,647.56 = 214,614.92/x
  3. Step 3: Cross multiply
    386,706.95x = 533,647.56 × 214,614.92
  4. Step 4: Simplify right side
    386,706.95x = 114,528,729,731.71
  5. Step 5: Solve for x
    x = 114,528,729,731.71/386,706.95
  6. Step 6: Final answer
    x = 296,164.13

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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.