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Finding the Fourth Proportional to 410,027.10, 615,040.65 and 298,052.70

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Solution

The fourth proportional to 410,027.10, 615,040.65 and 298,052.70 is: 447,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,027.10 : 615,040.65 = 298,052.70 : x
  2. Step 2: Convert to fraction form
    410,027.10/615,040.65 = 298,052.70/x
  3. Step 3: Cross multiply
    410,027.10x = 615,040.65 × 298,052.70
  4. Step 4: Simplify right side
    410,027.10x = 183,314,526,342.26
  5. Step 5: Solve for x
    x = 183,314,526,342.26/410,027.10
  6. Step 6: Final answer
    x = 447,079.05

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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.