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Finding the Fourth Proportional to 409,815.40, 614,723.10 and 401,942.20

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Solution

The fourth proportional to 409,815.40, 614,723.10 and 401,942.20 is: 602,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,815.40 : 614,723.10 = 401,942.20 : x
  2. Step 2: Convert to fraction form
    409,815.40/614,723.10 = 401,942.20/x
  3. Step 3: Cross multiply
    409,815.40x = 614,723.10 × 401,942.20
  4. Step 4: Simplify right side
    409,815.40x = 247,083,155,204.82
  5. Step 5: Solve for x
    x = 247,083,155,204.82/409,815.40
  6. Step 6: Final answer
    x = 602,913.30

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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.