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Finding the Fourth Proportional to 410,351.40, 615,527.10 and 223,266.60

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Solution

The fourth proportional to 410,351.40, 615,527.10 and 223,266.60 is: 334,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,351.40 : 615,527.10 = 223,266.60 : x
  2. Step 2: Convert to fraction form
    410,351.40/615,527.10 = 223,266.60/x
  3. Step 3: Cross multiply
    410,351.40x = 615,527.10 × 223,266.60
  4. Step 4: Simplify right side
    410,351.40x = 137,426,642,824.86
  5. Step 5: Solve for x
    x = 137,426,642,824.86/410,351.40
  6. Step 6: Final answer
    x = 334,899.90

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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.