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Finding the Fourth Proportional to 470,525.12, 705,390.92 and 204,084.96

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Solution

The fourth proportional to 470,525.12, 705,390.92 and 204,084.96 is: 305,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,525.12 : 705,390.92 = 204,084.96 : x
  2. Step 2: Convert to fraction form
    470,525.12/705,390.92 = 204,084.96/x
  3. Step 3: Cross multiply
    470,525.12x = 705,390.92 × 204,084.96
  4. Step 4: Simplify right side
    470,525.12x = 143,959,676,672.14
  5. Step 5: Solve for x
    x = 143,959,676,672.14/470,525.12
  6. Step 6: Final answer
    x = 305,955.35

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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.