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Finding the Fourth Proportional to 528,091.40, 792,914.70 and 409,896.20

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Solution

The fourth proportional to 528,091.40, 792,914.70 and 409,896.20 is: 615,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,091.40 : 792,914.70 = 409,896.20 : x
  2. Step 2: Convert to fraction form
    528,091.40/792,914.70 = 409,896.20/x
  3. Step 3: Cross multiply
    528,091.40x = 792,914.70 × 409,896.20
  4. Step 4: Simplify right side
    528,091.40x = 325,012,722,454.14
  5. Step 5: Solve for x
    x = 325,012,722,454.14/528,091.40
  6. Step 6: Final answer
    x = 615,447.86

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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.