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Finding the Fourth Proportional to 410,305.20, 615,457.80 and 335,655.60

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Solution

The fourth proportional to 410,305.20, 615,457.80 and 335,655.60 is: 503,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,305.20 : 615,457.80 = 335,655.60 : x
  2. Step 2: Convert to fraction form
    410,305.20/615,457.80 = 335,655.60/x
  3. Step 3: Cross multiply
    410,305.20x = 615,457.80 × 335,655.60
  4. Step 4: Simplify right side
    410,305.20x = 206,581,857,133.68
  5. Step 5: Solve for x
    x = 206,581,857,133.68/410,305.20
  6. Step 6: Final answer
    x = 503,483.40

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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.