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Finding the Fourth Proportional to 468,123.16, 703,340.22 and 299,716.88

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Solution

The fourth proportional to 468,123.16, 703,340.22 and 299,716.88 is: 450,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,123.16 : 703,340.22 = 299,716.88 : x
  2. Step 2: Convert to fraction form
    468,123.16/703,340.22 = 299,716.88/x
  3. Step 3: Cross multiply
    468,123.16x = 703,340.22 × 299,716.88
  4. Step 4: Simplify right side
    468,123.16x = 210,802,936,316.91
  5. Step 5: Solve for x
    x = 210,802,936,316.91/468,123.16
  6. Step 6: Final answer
    x = 450,315.12

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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.