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Finding the Fourth Proportional to 649,587.06, 974,358.72 and 228,852

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Solution

The fourth proportional to 649,587.06, 974,358.72 and 228,852 is: 343,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,587.06 : 974,358.72 = 228,852 : x
  2. Step 2: Convert to fraction form
    649,587.06/974,358.72 = 228,852/x
  3. Step 3: Cross multiply
    649,587.06x = 974,358.72 × 228,852
  4. Step 4: Simplify right side
    649,587.06x = 222,983,941,789.44
  5. Step 5: Solve for x
    x = 222,983,941,789.44/649,587.06
  6. Step 6: Final answer
    x = 343,270.30

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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.