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Finding the Fourth Proportional to 410,471.06, 615,706.56 and 298,861.52

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Solution

The fourth proportional to 410,471.06, 615,706.56 and 298,861.52 is: 448,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,471.06 : 615,706.56 = 298,861.52 : x
  2. Step 2: Convert to fraction form
    410,471.06/615,706.56 = 298,861.52/x
  3. Step 3: Cross multiply
    410,471.06x = 615,706.56 × 298,861.52
  4. Step 4: Simplify right side
    410,471.06x = 184,010,995,317.04
  5. Step 5: Solve for x
    x = 184,010,995,317.04/410,471.06
  6. Step 6: Final answer
    x = 448,292.26

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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.