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Finding the Fourth Proportional to 469,434.44, 704,122.47 and 149,578.40

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Solution

The fourth proportional to 469,434.44, 704,122.47 and 149,578.40 is: 224,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,434.44 : 704,122.47 = 149,578.40 : x
  2. Step 2: Convert to fraction form
    469,434.44/704,122.47 = 149,578.40/x
  3. Step 3: Cross multiply
    469,434.44x = 704,122.47 × 149,578.40
  4. Step 4: Simplify right side
    469,434.44x = 105,321,508,946.04
  5. Step 5: Solve for x
    x = 105,321,508,946.04/469,434.44
  6. Step 6: Final answer
    x = 224,358.29

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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.