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Finding the Fourth Proportional to 257,706, 386,614.56 and 77,776.38

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Solution

The fourth proportional to 257,706, 386,614.56 and 77,776.38 is: 116,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,706 : 386,614.56 = 77,776.38 : x
  2. Step 2: Convert to fraction form
    257,706/386,614.56 = 77,776.38/x
  3. Step 3: Cross multiply
    257,706x = 386,614.56 × 77,776.38
  4. Step 4: Simplify right side
    257,706x = 30,069,480,932.09
  5. Step 5: Solve for x
    x = 30,069,480,932.09/257,706
  6. Step 6: Final answer
    x = 116,681.34

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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.