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Finding the Fourth Proportional to 470,877.52, 705,918.12 and 204,436.48

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Solution

The fourth proportional to 470,877.52, 705,918.12 and 204,436.48 is: 306,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,877.52 : 705,918.12 = 204,436.48 : x
  2. Step 2: Convert to fraction form
    470,877.52/705,918.12 = 204,436.48/x
  3. Step 3: Cross multiply
    470,877.52x = 705,918.12 × 204,436.48
  4. Step 4: Simplify right side
    470,877.52x = 144,315,415,621.02
  5. Step 5: Solve for x
    x = 144,315,415,621.02/470,877.52
  6. Step 6: Final answer
    x = 306,481.85

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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.