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Finding the Fourth Proportional to 312,422.56, 468,536.90 and 112,716.98

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Solution

The fourth proportional to 312,422.56, 468,536.90 and 112,716.98 is: 169,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,422.56 : 468,536.90 = 112,716.98 : x
  2. Step 2: Convert to fraction form
    312,422.56/468,536.90 = 112,716.98/x
  3. Step 3: Cross multiply
    312,422.56x = 468,536.90 × 112,716.98
  4. Step 4: Simplify right side
    312,422.56x = 52,812,064,386.56
  5. Step 5: Solve for x
    x = 52,812,064,386.56/312,422.56
  6. Step 6: Final answer
    x = 169,040.50

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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.