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Finding the Fourth Proportional to 410,219.40, 615,329.10 and 401,003.40

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Solution

The fourth proportional to 410,219.40, 615,329.10 and 401,003.40 is: 601,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,219.40 : 615,329.10 = 401,003.40 : x
  2. Step 2: Convert to fraction form
    410,219.40/615,329.10 = 401,003.40/x
  3. Step 3: Cross multiply
    410,219.40x = 615,329.10 × 401,003.40
  4. Step 4: Simplify right side
    410,219.40x = 246,749,061,218.94
  5. Step 5: Solve for x
    x = 246,749,061,218.94/410,219.40
  6. Step 6: Final answer
    x = 601,505.10

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1.5x scale

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.