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Finding the Fourth Proportional to 469,329.62, 703,959.03 and 149,468.57

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Solution

The fourth proportional to 469,329.62, 703,959.03 and 149,468.57 is: 224,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,329.62 : 703,959.03 = 149,468.57 : x
  2. Step 2: Convert to fraction form
    469,329.62/703,959.03 = 149,468.57/x
  3. Step 3: Cross multiply
    469,329.62x = 703,959.03 × 149,468.57
  4. Step 4: Simplify right side
    469,329.62x = 105,219,746,593.40
  5. Step 5: Solve for x
    x = 105,219,746,593.40/469,329.62
  6. Step 6: Final answer
    x = 224,191.58

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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.