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Finding the Fourth Proportional to 313,116.32, 468,606.64 and 199,206.56

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Solution

The fourth proportional to 313,116.32, 468,606.64 and 199,206.56 is: 298,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,116.32 : 468,606.64 = 199,206.56 : x
  2. Step 2: Convert to fraction form
    313,116.32/468,606.64 = 199,206.56/x
  3. Step 3: Cross multiply
    313,116.32x = 468,606.64 × 199,206.56
  4. Step 4: Simplify right side
    313,116.32x = 93,349,516,747.56
  5. Step 5: Solve for x
    x = 93,349,516,747.56/313,116.32
  6. Step 6: Final answer
    x = 298,130.47

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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.