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Finding the Fourth Proportional to 468,716.29, 703,073.32 and 113,730.01

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Solution

The fourth proportional to 468,716.29, 703,073.32 and 113,730.01 is: 170,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,716.29 : 703,073.32 = 113,730.01 : x
  2. Step 2: Convert to fraction form
    468,716.29/703,073.32 = 113,730.01/x
  3. Step 3: Cross multiply
    468,716.29x = 703,073.32 × 113,730.01
  4. Step 4: Simplify right side
    468,716.29x = 79,960,535,714.33
  5. Step 5: Solve for x
    x = 79,960,535,714.33/468,716.29
  6. Step 6: Final answer
    x = 170,594.74

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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.