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Finding the Fourth Proportional to 468,564.28, 702,844.10 and 113,578.31

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Solution

The fourth proportional to 468,564.28, 702,844.10 and 113,578.31 is: 170,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,564.28 : 702,844.10 = 113,578.31 : x
  2. Step 2: Convert to fraction form
    468,564.28/702,844.10 = 113,578.31/x
  3. Step 3: Cross multiply
    468,564.28x = 702,844.10 × 113,578.31
  4. Step 4: Simplify right side
    468,564.28x = 79,827,845,071.47
  5. Step 5: Solve for x
    x = 79,827,845,071.47/468,564.28
  6. Step 6: Final answer
    x = 170,366.90

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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.