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Finding the Fourth Proportional to 456,995.34, 685,657.04 and 204,254.69

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Solution

The fourth proportional to 456,995.34, 685,657.04 and 204,254.69 is: 306,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,995.34 : 685,657.04 = 204,254.69 : x
  2. Step 2: Convert to fraction form
    456,995.34/685,657.04 = 204,254.69/x
  3. Step 3: Cross multiply
    456,995.34x = 685,657.04 × 204,254.69
  4. Step 4: Simplify right side
    456,995.34x = 140,048,661,701.96
  5. Step 5: Solve for x
    x = 140,048,661,701.96/456,995.34
  6. Step 6: Final answer
    x = 306,455.34

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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.