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Finding the Fourth Proportional to 297,598.64, 410,406.36 and 229,507.75

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Solution

The fourth proportional to 297,598.64, 410,406.36 and 229,507.75 is: 316,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,598.64 : 410,406.36 = 229,507.75 : x
  2. Step 2: Convert to fraction form
    297,598.64/410,406.36 = 229,507.75/x
  3. Step 3: Cross multiply
    297,598.64x = 410,406.36 × 229,507.75
  4. Step 4: Simplify right side
    297,598.64x = 94,191,439,921.64
  5. Step 5: Solve for x
    x = 94,191,439,921.64/297,598.64
  6. Step 6: Final answer
    x = 316,504.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.