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Finding the Fourth Proportional to 468,538.81, 702,808.21 and 113,552.84

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Solution

The fourth proportional to 468,538.81, 702,808.21 and 113,552.84 is: 170,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,538.81 : 702,808.21 = 113,552.84 : x
  2. Step 2: Convert to fraction form
    468,538.81/702,808.21 = 113,552.84/x
  3. Step 3: Cross multiply
    468,538.81x = 702,808.21 × 113,552.84
  4. Step 4: Simplify right side
    468,538.81x = 79,805,866,166.48
  5. Step 5: Solve for x
    x = 79,805,866,166.48/468,538.81
  6. Step 6: Final answer
    x = 170,329.25

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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.