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Finding the Fourth Proportional to 523,703.25, 785,600.43 and 144,624.48

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Solution

The fourth proportional to 523,703.25, 785,600.43 and 144,624.48 is: 216,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,703.25 : 785,600.43 = 144,624.48 : x
  2. Step 2: Convert to fraction form
    523,703.25/785,600.43 = 144,624.48/x
  3. Step 3: Cross multiply
    523,703.25x = 785,600.43 × 144,624.48
  4. Step 4: Simplify right side
    523,703.25x = 113,617,053,676.53
  5. Step 5: Solve for x
    x = 113,617,053,676.53/523,703.25
  6. Step 6: Final answer
    x = 216,949.30

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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.