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Finding the Fourth Proportional to 410,114.70, 615,172.05 and 410,114.70

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Solution

The fourth proportional to 410,114.70, 615,172.05 and 410,114.70 is: 615,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,114.70 : 615,172.05 = 410,114.70 : x
  2. Step 2: Convert to fraction form
    410,114.70/615,172.05 = 410,114.70/x
  3. Step 3: Cross multiply
    410,114.70x = 615,172.05 × 410,114.70
  4. Step 4: Simplify right side
    410,114.70x = 252,291,100,734.14
  5. Step 5: Solve for x
    x = 252,291,100,734.14/410,114.70
  6. Step 6: Final answer
    x = 615,172.05

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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.