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Finding the Fourth Proportional to 410,565.40, 615,847.84 and 298,955.61

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Solution

The fourth proportional to 410,565.40, 615,847.84 and 298,955.61 is: 448,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,565.40 : 615,847.84 = 298,955.61 : x
  2. Step 2: Convert to fraction form
    410,565.40/615,847.84 = 298,955.61/x
  3. Step 3: Cross multiply
    410,565.40x = 615,847.84 × 298,955.61
  4. Step 4: Simplify right side
    410,565.40x = 184,111,165,179.60
  5. Step 5: Solve for x
    x = 184,111,165,179.60/410,565.40
  6. Step 6: Final answer
    x = 448,433.22

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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.