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Finding the Fourth Proportional to 257,417.94, 386,121.31 and 70,429.44

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Solution

The fourth proportional to 257,417.94, 386,121.31 and 70,429.44 is: 105,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,417.94 : 386,121.31 = 70,429.44 : x
  2. Step 2: Convert to fraction form
    257,417.94/386,121.31 = 70,429.44/x
  3. Step 3: Cross multiply
    257,417.94x = 386,121.31 × 70,429.44
  4. Step 4: Simplify right side
    257,417.94x = 27,194,307,635.37
  5. Step 5: Solve for x
    x = 27,194,307,635.37/257,417.94
  6. Step 6: Final answer
    x = 105,642.63

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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.