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Finding the Fourth Proportional to 410,722.80, 615,623.40 and 174,025.20

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Solution

The fourth proportional to 410,722.80, 615,623.40 and 174,025.20 is: 260,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,722.80 : 615,623.40 = 174,025.20 : x
  2. Step 2: Convert to fraction form
    410,722.80/615,623.40 = 174,025.20/x
  3. Step 3: Cross multiply
    410,722.80x = 615,623.40 × 174,025.20
  4. Step 4: Simplify right side
    410,722.80x = 107,133,985,309.68
  5. Step 5: Solve for x
    x = 107,133,985,309.68/410,722.80
  6. Step 6: Final answer
    x = 260,842.56

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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.