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Finding the Fourth Proportional to 504,460.95, 756,694.16 and 149,478.04

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Solution

The fourth proportional to 504,460.95, 756,694.16 and 149,478.04 is: 224,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,460.95 : 756,694.16 = 149,478.04 : x
  2. Step 2: Convert to fraction form
    504,460.95/756,694.16 = 149,478.04/x
  3. Step 3: Cross multiply
    504,460.95x = 756,694.16 × 149,478.04
  4. Step 4: Simplify right side
    504,460.95x = 113,109,159,168.86
  5. Step 5: Solve for x
    x = 113,109,159,168.86/504,460.95
  6. Step 6: Final answer
    x = 224,217.87

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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.