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Finding the Fourth Proportional to 421,502.40, 630,941.40 and 408,380.40

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Solution

The fourth proportional to 421,502.40, 630,941.40 and 408,380.40 is: 611,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,502.40 : 630,941.40 = 408,380.40 : x
  2. Step 2: Convert to fraction form
    421,502.40/630,941.40 = 408,380.40/x
  3. Step 3: Cross multiply
    421,502.40x = 630,941.40 × 408,380.40
  4. Step 4: Simplify right side
    421,502.40x = 257,664,101,308.56
  5. Step 5: Solve for x
    x = 257,664,101,308.56/421,502.40
  6. Step 6: Final answer
    x = 611,299.25

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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.